Again, it is impossible to answer this for you without full knowledge of your circumstances (I am NOT suggesting you tell anyone here what they are), but most likely you will be required to get a psychological evaluation to determine if you in fact do not require the medication anymore, and obtain a waiver based on that evaluation.
Do you suffer from anxiety attacks? I am not 100% sure but most branches won't let you in if you suffer from anxiety attacks, depending on how severe they are. But as everyone else has said go to the recruiter and if he can't tell you for sure you'll definetly find out at MEPS....