I have been asked by our management if it would be possible to get a report that would show basically in real-time all the issues that all the users are currently tracking time with using the timer. I don't see any mention of this in your current documentation. We thought of simply using a JIRA search on In Progress statuses but it does not actually mean the user is working on the issue as they may have a couple issues In Progress. The theory is if we can see what the timer is tracking time against we will have a fair accurate idea of what issue is actually being worked on at any time.
As an example:
User A started the timer when they started working on issue A-123
User B started the timer when they started working on issue G-345
User C is not using the timer, not working on a issue currently
User D started the timer when they started working on issue G-244
The report when run would display the following info