If you break a clip on a clip-frame, a binder clip will make a great replacement. Or you can go the way May-Jun Li has gone and make your own frames.
For a less office-y look, you can remove the levers.
Note 1: May-Jun's belly button photos are at the Manx right now, but won't be for much longer.
Note 2: To one of my regular readers who recently expressed surprise over the length of this series and expressed gratitude for not receiving a graduation photo from me in a frame with binder clips, it really wouldn't have been so bad.