basically saying you don't do something. More often than not, it's to clairfy about your sexual orientation, but down here, it's more of a "that ain't my thing" deal.
Mel: Damn check out Rick's nice ass
Bob: Uhh no thanks, I don't swing that way Mel: You did last year with Mike
Bob: Shh, only that once...
Kevin: Hey Tom, We're going to tax shit from Wal-Mart, wanna come?
Tom: Sorry dude, i don't swing that way.
Kevin: Pussy
Tom: Mm Pussy, i DO swing THAT way.
Lesbian: I confess my love to you! Please marry me!!!
Straight Girl: Uh, I'm flattered but I dont swing that way.
Lesbian: Noodles are straight until they're wet...