Yep - just pick them off and store them in some vermiculite until you're ready to plant them next spring. Technically I think they're called "bulbils" or "propagules" if they form in the leaf axils, but they function just as do the rhizomes, whatever they're called.

They're called 'corms'.

I stand corrected. Whatever they're called (and according to the Gesneriad Society, they're all "rhizomes"), they'll grow just fine.