The music in Groundhog Day includes a lot of different songs like "I Got You Babe" and a really killer piano solo played by Phil Connors at the Groundhog Day Dance. But the general score to the movie follows a jaunty clarinet-based motif by composer George Fenton.
This music has a bouncy, almost polka-like feel to it, which makes sense when you think of how many towns in Pennsylvania were settled by Germans (infamous lovers of the polka). Yes, we admit that the connection is a bit of a stretch, but the polka motif comes back again later in the movie with "The Pennsylvania Polka". The rest of the music is mostly just the generic soft rock that you'd expect from an early-90's comedy.