I had to get a psych waiver for depression, conduct disorder, and panic attacks to enlist. Actually it was a DQ, BUMED, RESUB, DQ, wait, BUMED, RESUB, waiver. My grounds were that I never got diagnosed by a head doctor for panic attacks, conduct disorder, or full-on depression. I was diagnosed with Generalized Anxiety Disorder, with minor occurrences.
I got the waiver in a heartbeat in Quantico the day of the inventory PFT. Go take my flight phys 2 years later and the flight surgeon at NOMI DQ'd me and made me take the MMPI and another psych test. The Psych-O down there read my entire psych record and did not find any of the three originally stated diagnoses in the logs. He did see the GAD and "symptoms of depression." He read and did his own eval stating that I had shown symptoms of Adjustment Disorder and them cleared me for flight.
I was only on Meds for a year during the age of 13, and the Phys was when I was 25, so this is probably not the same in your case.