Chuck Gates are an obstacle of a clapping chuck and low ceiling. Conversely, there are also Reverse Chuck Gates where you must run over a gap without hitting the Clapping Chuck to get by.
Button Input Header
Chuck Gates typically are one tile high so you can no jump on the Chuck to get him to run out of the way. To get passed him, press jump (either B or A) when his hands are on the ground and he will jump up. It is important not to max jump or hold jump as you fall so you have enough time to get under him.
Reverse Chuck gates are the same thing as Running Over One Tile Gaps, but they require timing of the Chuck's Jump since you are above him, so he will naturally be jumping constantly. As the Chuck is at his peak and about to start coming down is the ideal time to run across.