The scene where Tylor is hanging from the ceiling of the cave by his feet, with a rubber chicken in the snow next to him is a direct homage to the scene in The Empire Strikes Back where Luke Skywaker is hanging from roof of the Wampa's cave
At the beginning of the episode, Fungus suggests to Mike that they use a Laugh Extractor to increase Laugh power in Monstropolis to which Mike replies "Too soon, Fungus."This is a callback to Monsters Inc. where Waternoose tried extracting screams from children using a Scream Extractor and Mike & Sully stuck Fungus on said Extractor.