swing has 16 distinct synonyms spread across 10 of its 22 senses. Each sense below keeps its own list, because a synonym belongs to a meaning and not to a word: swapping one sense's substitute into another sense's sentence is how a thesaurus makes writing worse. WordNet records no antonym for it — antonymy is a relation between word forms rather than concepts, so it is deliberately sparse.
Counts are distinct word forms across every sense. A synonym that appears under three senses is counted once here and shown three times below, under each sense it belongs to.
change direction with a swinging motion; turn
“swing back”
influence decisively
“This action swung many votes over to his side”
hit or aim at with a sweeping arm movement
“The soccer player began to swing at the referee”
live in a lively, modern, and relaxed style
“The Woodstock generation attempted to swing freely”
have a certain musical rhythm
“The music has to swing”
play with a subtle and intuitively felt sense of rhythm
engage freely in promiscuous sex, often with the husband or wife of one's friends
“There were many swinging couples in the 1960's”
a state of steady vigorous action that is characteristic of an activity
“the party went with a swing”
mechanical device used as a plaything to support someone swinging back and forth
Synonyms, antonyms and the broader and narrower relations for swing come from Princeton University’s WordNet. Full sources and licences.
a sweeping blow or stroke
“he took a wild swing at my head”
a style of jazz played by big bands popular in the 1930s; flowing rhythms but less complex than later styles of jazz
in baseball; a batter's attempt to hit a pitched ball
“he took a vicious cut at the ball”
a square dance figure; a pair of dancers join hands and dance around a point between them