Mr. Burns mentions the movie when he tells Larry that he and his mother, Lily Bancroft, had gone to see the movie together back in 1939, and that it was Clark Gable's use of the word "damn" that led to Larry's conception
At the end of the episode Rodney Dangerfield's character Larry Burns gets everyone to dance to "Any Way You Want It" by Journey, just like his character Al Czervik did in Caddyshack.