Molybendum....
Depends.
Depends on what you're doing next and the hospital and the prevailing atmosphere. For example, if you have clinic afterwards, generally street clothes are required or at least, preferred.
However, some hospitals may require that you wear civvies *whenever* you are out of the OR or Trauma Bay (ie, when on Transplant here, the attendings require us to wear civvies for all patient contact); other places don't care as long as you are neat and clean, so scrubs are allowed for all clinical situations.
IMHO, there are no hard and fast rules about this - you will be told on Orientation day at your new program (or when starting clinicals) what the accepted rules are.