I applied to a prior service bid back in 2015 (Prior Tracon rating). Just got my TII clearance yesterday. hope it goes faster for you.. but don't hold your breath thinking it'll be a week or two.. I've had enough time to get my Private through Multi Engine Commercial Instrument ratings and getting ready to take my CFI check ride in a couple weeks after a few years of waiting for this thing to get cleared. Do something now and don't wait for an email from HR/Medical.. you'll regret wasting the time whether it be a couple months or a couple years.
Edit: I should clarify that I took the TII exam with the psychologist back in 2015. After calling and emailing religiously for over a year for updates and receiving "Its on the desk of the Flight surgeon", they just stopped responding to me. After 3 months of no return calls or emails, I figured I was not cleared through and they closed my file. Last August I received an Email from HR essentially saying "Are you still interested? If not we are going to close your file". What the heck, here we go. after some emailing with some new POC's, it was determined that there was a miscommunication between the DR and HR/MED area and the required stuff was sent over for review. That was on November 15,2020. Just over 7 months later I got a "TII cleared" email, and get to redo the clearances again. I am interested to see if this actually comes to fruition.