With my 3314As, there was a problem with the pass transistor sockets. HP used, in my opinion, very cheap sockets, and the transistor(s) were not making good contact. I finally got fed up, removed the sockets, and permanently soldered the transistors to the board.
In another case, as the previous poster described, it was one of the electrolytic caps on the output of the supply. It had a high ESR and was suitably replaced, fixing the supply.