Yup — either:
1) Note the loudest peak of the music*, and compress the hell out of everything above that, or
2) If the clapping is only between songs, compress the hell out of just those sections to taste, and leave the music alone.
Then normalize everything back up to peaking at 0 dB, and you're good.
*Note: I've found that applying compression to a few stray loud peaks of music, particularly if they're drum hits, is invariably unnoticeable. But if you're antsy, just stick to the clapping peaks.