This is actually on the MTS road map.
No, at this point it will require near live update tracking and comparing the updated time to the submitted time and then averaging that out. That'll not really give you an auto approval time, but averaged out will give you that requester's/batches average approval time which is good enough (still AA hah).
I can't add something like this to MTS before getting it extensively tested to make sure its not gonna destroy you on page requests when it updates. Before that I have to make it, and before that I have to get MTS up to date. Though tbh making it probably won't be too hard, its the update MTS cause no sense in adding it right before I have to tear it down and rebuilt it again.
Once I finish learning and stuff, I'll have time to work on MTS again and add this stuff + bring it back to standard. Still currently pegged to start back up in Oct.