At the moment the integration with JIRA just posts comments to the JIRA issues that the revision is linked against. It would be great if Phabricator could set the contents of a custom field based on how many revisions are awaiting review / revision / closed. This would give a better overview as to the status of a JIRA issue.
It should be possible with /rest/api/2/issue/{issueIdOrKey} and a config item for configuring what field should be set. It might be required to have two fields, one that gives an overview of the status of the differential revisions, and one that simply toggles between "Not Reviewed", "Awaiting Review" and "Reviewed". The reason for the latter is so that workflows can be restricted from moving to the next status until there is at least one code review done against the item. I'd imagine the overview field would be more along the lines of "2 Awaiting Review, 1 Awaiting Revision, 3 Accepted" etc. where the purpose of this field is just for human readability.