diff --git a/resources/celerity/map.php b/resources/celerity/map.php
--- a/resources/celerity/map.php
+++ b/resources/celerity/map.php
@@ -16,7 +16,7 @@
     'diffusion.pkg.css' => '42c75c37',
     'diffusion.pkg.js' => '91192d85',
     'maniphest.pkg.css' => '35995d6d',
-    'maniphest.pkg.js' => '286955ae',
+    'maniphest.pkg.js' => 'c9308721',
     'rsrc/audio/basic/alert.mp3' => '17889334',
     'rsrc/audio/basic/bing.mp3' => 'a817a0c3',
     'rsrc/audio/basic/pock.mp3' => '0fa843d0',
@@ -395,10 +395,9 @@
     'rsrc/js/application/herald/HeraldRuleEditor.js' => '27daef73',
     'rsrc/js/application/herald/PathTypeahead.js' => 'ad486db3',
     'rsrc/js/application/herald/herald-rule-editor.js' => '0922e81d',
-    'rsrc/js/application/maniphest/behavior-batch-selector.js' => 'cffd39b4',
+    'rsrc/js/application/maniphest/behavior-batch-selector.js' => '139ef688',
     'rsrc/js/application/maniphest/behavior-line-chart.js' => 'c8147a20',
     'rsrc/js/application/maniphest/behavior-list-edit.js' => 'c687e867',
-    'rsrc/js/application/maniphest/behavior-subpriorityeditor.js' => '8400307c',
     'rsrc/js/application/owners/OwnersPathEditor.js' => '2a8b62d9',
     'rsrc/js/application/owners/owners-path-editor.js' => 'ff688a7a',
     'rsrc/js/application/passphrase/passphrase-credential-control.js' => '48fe33d0',
@@ -619,9 +618,8 @@
     'javelin-behavior-lightbox-attachments' => 'c7e748bf',
     'javelin-behavior-line-chart' => 'c8147a20',
     'javelin-behavior-linked-container' => '74446546',
-    'javelin-behavior-maniphest-batch-selector' => 'cffd39b4',
+    'javelin-behavior-maniphest-batch-selector' => '139ef688',
     'javelin-behavior-maniphest-list-editor' => 'c687e867',
-    'javelin-behavior-maniphest-subpriority-editor' => '8400307c',
     'javelin-behavior-owners-path-editor' => 'ff688a7a',
     'javelin-behavior-passphrase-credential-control' => '48fe33d0',
     'javelin-behavior-phabricator-active-nav' => '7353f43d',
@@ -998,6 +996,12 @@
       'javelin-uri',
       'phabricator-keyboard-shortcut',
     ),
+    '139ef688' => array(
+      'javelin-behavior',
+      'javelin-dom',
+      'javelin-stratcom',
+      'javelin-util',
+    ),
     '1c850a26' => array(
       'javelin-install',
       'javelin-util',
@@ -1539,13 +1543,6 @@
       'javelin-dom',
       'javelin-vector',
     ),
-    '8400307c' => array(
-      'javelin-behavior',
-      'javelin-dom',
-      'javelin-stratcom',
-      'javelin-workflow',
-      'phabricator-draggable-list',
-    ),
     '8437c663' => array(
       'javelin-install',
       'javelin-dom',
@@ -1970,12 +1967,6 @@
       'javelin-dom',
       'javelin-stratcom',
     ),
-    'cffd39b4' => array(
-      'javelin-behavior',
-      'javelin-dom',
-      'javelin-stratcom',
-      'javelin-util',
-    ),
     'd0a85a85' => array(
       'javelin-dom',
       'javelin-util',
@@ -2362,7 +2353,6 @@
     ),
     'maniphest.pkg.js' => array(
       'javelin-behavior-maniphest-batch-selector',
-      'javelin-behavior-maniphest-subpriority-editor',
       'javelin-behavior-maniphest-list-editor',
     ),
   ),
diff --git a/resources/celerity/packages.php b/resources/celerity/packages.php
--- a/resources/celerity/packages.php
+++ b/resources/celerity/packages.php
@@ -218,7 +218,6 @@
   ),
   'maniphest.pkg.js' => array(
     'javelin-behavior-maniphest-batch-selector',
-    'javelin-behavior-maniphest-subpriority-editor',
     'javelin-behavior-maniphest-list-editor',
   ),
 );
diff --git a/src/__phutil_library_map__.php b/src/__phutil_library_map__.php
--- a/src/__phutil_library_map__.php
+++ b/src/__phutil_library_map__.php
@@ -1709,7 +1709,6 @@
     'ManiphestStatusEmailCommand' => 'applications/maniphest/command/ManiphestStatusEmailCommand.php',
     'ManiphestStatusSearchConduitAPIMethod' => 'applications/maniphest/conduit/ManiphestStatusSearchConduitAPIMethod.php',
     'ManiphestStatusesConfigType' => 'applications/maniphest/config/ManiphestStatusesConfigType.php',
-    'ManiphestSubpriorityController' => 'applications/maniphest/controller/ManiphestSubpriorityController.php',
     'ManiphestSubtypesConfigType' => 'applications/maniphest/config/ManiphestSubtypesConfigType.php',
     'ManiphestTask' => 'applications/maniphest/storage/ManiphestTask.php',
     'ManiphestTaskAssignHeraldAction' => 'applications/maniphest/herald/ManiphestTaskAssignHeraldAction.php',
@@ -7406,7 +7405,6 @@
     'ManiphestStatusEmailCommand' => 'ManiphestEmailCommand',
     'ManiphestStatusSearchConduitAPIMethod' => 'ManiphestConduitAPIMethod',
     'ManiphestStatusesConfigType' => 'PhabricatorJSONConfigType',
-    'ManiphestSubpriorityController' => 'ManiphestController',
     'ManiphestSubtypesConfigType' => 'PhabricatorJSONConfigType',
     'ManiphestTask' => array(
       'ManiphestDAO',
diff --git a/src/applications/maniphest/application/PhabricatorManiphestApplication.php b/src/applications/maniphest/application/PhabricatorManiphestApplication.php
--- a/src/applications/maniphest/application/PhabricatorManiphestApplication.php
+++ b/src/applications/maniphest/application/PhabricatorManiphestApplication.php
@@ -54,7 +54,6 @@
             => 'ManiphestTaskEditController',
           'subtask/(?P<id>[1-9]\d*)/' => 'ManiphestTaskSubtaskController',
         ),
-        'subpriority/' => 'ManiphestSubpriorityController',
         'graph/(?P<id>[1-9]\d*)/' => 'ManiphestTaskGraphController',
       ),
     );
diff --git a/src/applications/maniphest/controller/ManiphestController.php b/src/applications/maniphest/controller/ManiphestController.php
--- a/src/applications/maniphest/controller/ManiphestController.php
+++ b/src/applications/maniphest/controller/ManiphestController.php
@@ -53,7 +53,6 @@
 
     $view = id(new ManiphestTaskListView())
       ->setUser($user)
-      ->setShowSubpriorityControls(!$request->getStr('ungrippable'))
       ->setShowBatchControls(true)
       ->setHandles($handles)
       ->setTasks(array($task));
diff --git a/src/applications/maniphest/controller/ManiphestSubpriorityController.php b/src/applications/maniphest/controller/ManiphestSubpriorityController.php
deleted file mode 100644
--- a/src/applications/maniphest/controller/ManiphestSubpriorityController.php
+++ /dev/null
@@ -1,70 +0,0 @@
-<?php
-
-final class ManiphestSubpriorityController extends ManiphestController {
-
-  public function handleRequest(AphrontRequest $request) {
-    $viewer = $this->getViewer();
-
-    if (!$request->validateCSRF()) {
-      return new Aphront403Response();
-    }
-
-    $task = id(new ManiphestTaskQuery())
-      ->setViewer($viewer)
-      ->withIDs(array($request->getInt('task')))
-      ->needProjectPHIDs(true)
-      ->requireCapabilities(
-        array(
-          PhabricatorPolicyCapability::CAN_VIEW,
-          PhabricatorPolicyCapability::CAN_EDIT,
-        ))
-      ->executeOne();
-    if (!$task) {
-      return new Aphront404Response();
-    }
-
-    if ($request->getInt('after')) {
-      $after_task = id(new ManiphestTaskQuery())
-        ->setViewer($viewer)
-        ->withIDs(array($request->getInt('after')))
-        ->executeOne();
-      if (!$after_task) {
-        return new Aphront404Response();
-      }
-      list($pri, $sub) = ManiphestTransactionEditor::getAdjacentSubpriority(
-        $after_task,
-        $is_after = true);
-    } else {
-      list($pri, $sub) = ManiphestTransactionEditor::getEdgeSubpriority(
-        $request->getInt('priority'),
-        $is_end = false);
-    }
-
-    $keyword_map = ManiphestTaskPriority::getTaskPriorityKeywordsMap();
-    $keyword = head(idx($keyword_map, $pri));
-
-    $xactions = array();
-
-    $xactions[] = id(new ManiphestTransaction())
-      ->setTransactionType(ManiphestTaskPriorityTransaction::TRANSACTIONTYPE)
-      ->setNewValue($keyword);
-
-    $xactions[] = id(new ManiphestTransaction())
-      ->setTransactionType(ManiphestTaskSubpriorityTransaction::TRANSACTIONTYPE)
-      ->setNewValue($sub);
-
-    $editor = id(new ManiphestTransactionEditor())
-      ->setActor($viewer)
-      ->setContinueOnMissingFields(true)
-      ->setContinueOnNoEffect(true)
-      ->setContentSourceFromRequest($request);
-
-    $editor->applyTransactions($task, $xactions);
-
-    return id(new AphrontAjaxResponse())->setContent(
-      array(
-        'tasks' => $this->renderSingleTask($task),
-      ));
-  }
-
-}
diff --git a/src/applications/maniphest/controller/ManiphestTaskEditController.php b/src/applications/maniphest/controller/ManiphestTaskEditController.php
--- a/src/applications/maniphest/controller/ManiphestTaskEditController.php
+++ b/src/applications/maniphest/controller/ManiphestTaskEditController.php
@@ -5,7 +5,6 @@
   public function handleRequest(AphrontRequest $request) {
     return id(new ManiphestEditEngine())
       ->setController($this)
-      ->addContextParameter('ungrippable')
       ->addContextParameter('responseType')
       ->addContextParameter('columnPHID')
       ->addContextParameter('order')
diff --git a/src/applications/maniphest/query/ManiphestTaskSearchEngine.php b/src/applications/maniphest/query/ManiphestTaskSearchEngine.php
--- a/src/applications/maniphest/query/ManiphestTaskSearchEngine.php
+++ b/src/applications/maniphest/query/ManiphestTaskSearchEngine.php
@@ -366,10 +366,8 @@
     $viewer = $this->requireViewer();
 
     if ($this->isPanelContext()) {
-      $can_edit_priority = false;
       $can_bulk_edit = false;
     } else {
-      $can_edit_priority = true;
       $can_bulk_edit = PhabricatorPolicyFilter::hasCapability(
         $viewer,
         $this->getApplication(),
@@ -380,7 +378,6 @@
       ->setUser($viewer)
       ->setTasks($tasks)
       ->setSavedQuery($saved)
-      ->setCanEditPriority($can_edit_priority)
       ->setCanBatchEdit($can_bulk_edit)
       ->setShowBatchControls($this->showBatchControls);
 
diff --git a/src/applications/maniphest/view/ManiphestTaskListView.php b/src/applications/maniphest/view/ManiphestTaskListView.php
--- a/src/applications/maniphest/view/ManiphestTaskListView.php
+++ b/src/applications/maniphest/view/ManiphestTaskListView.php
@@ -5,7 +5,6 @@
   private $tasks;
   private $handles;
   private $showBatchControls;
-  private $showSubpriorityControls;
   private $noDataString;
 
   public function setTasks(array $tasks) {
@@ -25,11 +24,6 @@
     return $this;
   }
 
-  public function setShowSubpriorityControls($show_subpriority_controls) {
-    $this->showSubpriorityControls = $show_subpriority_controls;
-    return $this;
-  }
-
   public function setNoDataString($text) {
     $this->noDataString = $text;
     return $this;
@@ -102,10 +96,7 @@
           phabricator_datetime($task->getDateModified(), $this->getUser()));
       }
 
-      if ($this->showSubpriorityControls) {
-        $item->setGrippable(true);
-      }
-      if ($this->showSubpriorityControls || $this->showBatchControls) {
+      if ($this->showBatchControls) {
         $item->addSigil('maniphest-task');
       }
 
@@ -134,9 +125,6 @@
 
       if ($this->showBatchControls) {
         $href = new PhutilURI('/maniphest/task/edit/'.$task->getID().'/');
-        if (!$this->showSubpriorityControls) {
-          $href->replaceQueryParam('ungrippable', 'true');
-        }
         $item->addAction(
           id(new PHUIListItemView())
             ->setIcon('fa-pencil')
diff --git a/src/applications/maniphest/view/ManiphestTaskResultListView.php b/src/applications/maniphest/view/ManiphestTaskResultListView.php
--- a/src/applications/maniphest/view/ManiphestTaskResultListView.php
+++ b/src/applications/maniphest/view/ManiphestTaskResultListView.php
@@ -4,7 +4,6 @@
 
   private $tasks;
   private $savedQuery;
-  private $canEditPriority;
   private $canBatchEdit;
   private $showBatchControls;
 
@@ -18,11 +17,6 @@
     return $this;
   }
 
-  public function setCanEditPriority($can_edit_priority) {
-    $this->canEditPriority = $can_edit_priority;
-    return $this;
-  }
-
   public function setCanBatchEdit($can_batch_edit) {
     $this->canBatchEdit = $can_batch_edit;
     return $this;
@@ -54,28 +48,12 @@
       $group_parameter,
       $handles);
 
-    $can_edit_priority = $this->canEditPriority;
-
-    $can_drag = ($order_parameter == 'priority') &&
-                ($can_edit_priority) &&
-                ($group_parameter == 'none' || $group_parameter == 'priority');
-
-    if (!$viewer->isLoggedIn()) {
-      // TODO: (T7131) Eventually, we conceivably need to make each task
-      // draggable individually, since the user may be able to edit some but
-      // not others.
-      $can_drag = false;
-    }
-
     $result = array();
 
     $lists = array();
     foreach ($groups as $group => $list) {
       $task_list = new ManiphestTaskListView();
       $task_list->setShowBatchControls($this->showBatchControls);
-      if ($can_drag) {
-        $task_list->setShowSubpriorityControls(true);
-      }
       $task_list->setUser($viewer);
       $task_list->setTasks($list);
       $task_list->setHandles($handles);
@@ -91,14 +69,6 @@
 
     }
 
-    if ($can_drag) {
-      Javelin::initBehavior(
-        'maniphest-subpriority-editor',
-        array(
-          'uri'   =>  '/maniphest/subpriority/',
-        ));
-    }
-
     return array(
       $lists,
       $this->showBatchControls ? $this->renderBatchEditor($query) : null,
diff --git a/src/view/phui/PHUIObjectItemView.php b/src/view/phui/PHUIObjectItemView.php
--- a/src/view/phui/PHUIObjectItemView.php
+++ b/src/view/phui/PHUIObjectItemView.php
@@ -414,25 +414,17 @@
         ));
     }
 
-    // Wrap the header content in a <span> with the "slippery" sigil. This
-    // prevents us from beginning a drag if you click the text (like "T123"),
-    // but not if you click the white space after the header.
     $header = phutil_tag(
       'div',
       array(
         'class' => 'phui-oi-name',
       ),
-      javelin_tag(
-        'span',
-        array(
-          'sigil' => 'slippery',
-        ),
-        array(
-          $this->headIcons,
-          $header_name,
-          $header_link,
-          $description_tag,
-        )));
+      array(
+        $this->headIcons,
+        $header_name,
+        $header_link,
+        $description_tag,
+      ));
 
     $icons = array();
     if ($this->icons) {
diff --git a/webroot/rsrc/js/application/maniphest/behavior-batch-selector.js b/webroot/rsrc/js/application/maniphest/behavior-batch-selector.js
--- a/webroot/rsrc/js/application/maniphest/behavior-batch-selector.js
+++ b/webroot/rsrc/js/application/maniphest/behavior-batch-selector.js
@@ -41,19 +41,6 @@
     update();
   };
 
-  var redraw = function (task) {
-    var selected = is_selected(task);
-    change(task, selected);
-  };
-  JX.Stratcom.listen(
-    'subpriority-changed',
-    null,
-    function (e) {
-      e.kill();
-      var data = e.getData();
-      redraw(data.task);
-    });
-
   // Change all tasks to some state (used by "select all" / "clear selection"
   // buttons).
 
diff --git a/webroot/rsrc/js/application/maniphest/behavior-subpriorityeditor.js b/webroot/rsrc/js/application/maniphest/behavior-subpriorityeditor.js
deleted file mode 100644
--- a/webroot/rsrc/js/application/maniphest/behavior-subpriorityeditor.js
+++ /dev/null
@@ -1,72 +0,0 @@
-/**
- * @provides javelin-behavior-maniphest-subpriority-editor
- * @requires javelin-behavior
- *           javelin-dom
- *           javelin-stratcom
- *           javelin-workflow
- *           phabricator-draggable-list
- */
-
-JX.behavior('maniphest-subpriority-editor', function(config) {
-
-  var draggable = new JX.DraggableList('maniphest-task')
-    .setFindItemsHandler(function() {
-      var tasks = JX.DOM.scry(document.body, 'li', 'maniphest-task');
-      var heads = JX.DOM.scry(document.body, 'div', 'task-group');
-      return tasks.concat(heads);
-    })
-    .setGhostHandler(function(ghost, target) {
-      if (!target) {
-        // The user is trying to drag a task above the first group header;
-        // don't permit that since it doesn't make sense.
-        return false;
-      }
-
-      if (target.nextSibling) {
-        if (JX.DOM.isType(target, 'div')) {
-          target.nextSibling.insertBefore(ghost, target.nextSibling.firstChild);
-        } else {
-          target.parentNode.insertBefore(ghost, target.nextSibling);
-        }
-      } else {
-        target.parentNode.appendChild(ghost);
-      }
-    });
-
-  draggable.listen('shouldBeginDrag', function(e) {
-    if (e.getNode('slippery') || e.getNode('maniphest-edit-task')) {
-      JX.Stratcom.context().kill();
-    }
-  });
-
-  draggable.listen('didDrop', function(node, after) {
-    var data = {
-      task: JX.Stratcom.getData(node).taskID
-    };
-
-    if (JX.DOM.isType(after, 'div')) {
-      data.priority = JX.Stratcom.getData(after).priority;
-    } else {
-      data.after = JX.Stratcom.getData(after).taskID;
-    }
-
-    draggable.lock();
-    JX.DOM.alterClass(node, 'drag-sending', true);
-
-    var onresponse = function(r) {
-      var nodes = JX.$H(r.tasks).getFragment().firstChild;
-      var task = JX.DOM.find(nodes, 'li', 'maniphest-task');
-      JX.DOM.replace(node, task);
-      draggable.unlock();
-      JX.Stratcom.invoke(
-        'subpriority-changed',
-        null,
-        { 'task' : task });
-    };
-
-    new JX.Workflow(config.uri, data)
-      .setHandler(onresponse)
-      .start();
-  });
-
-});