WordNet sense 1 (a style of jazz played by big bands popular in the 1930s; flowing rhythms but less complex than later styles of jazz):

swing music

WordNet sense 2 (a jaunty rhythm in music):

lilt

WordNet sense 3 (hang freely):

dangle, drop

WordNet sense 4 (influence decisively):

swing over

WordNet sense 5 (be a social swinger; socialize a lot):

get around

WordNet sense 6 (move or walk in a swinging or swaying manner):

sway

WordNet sense 7 (make a big sweeping gesture or movement):

sweep, swing out

WordNet sense 8 (the act of swinging a golf club at a golf ball and (usually) hitting it):

golf stroke, golf shot

WordNet sense 9 (in baseball; a batter's attempt to hit a pitched ball):

cut, baseball swing

WordNet sense 10 (changing location by moving back and forth):

swinging, vacillation