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Synonyms for Gag (same or very similar meaning)

WordNet sense 1 (a humorous anecdote or remark intended to provoke laughter):
jape, jest, joke, laugh

WordNet sense 2 (restraint put into a person's mouth to prevent speaking or shouting):
muzzle

WordNet sense 3 (be too tight; rub or press):
choke, fret

WordNet sense 4 (make jokes or quips):
quip

WordNet sense 5 (struggle for breath; have insufficient oxygen intake):
strangle, suffocate

WordNet sense 6 (make an unsuccessful effort to vomit; strain to vomit):
heave, retch


From the ODE community, based on WordNetadd/edit