go-round, n. — Green’s Dictionary of Slang

go-round n.

1. a fight.

1898		E.N. Westcott David Harum 142: Me an’ him had a little go-round to-day.
1938		M.K. Rawlings Yearling 274: I had me a good go-round with them jessies.
1982		M. Braun Judas Tree (1983) 70: Guess he recollects our last go-round.
1991		B. Hamper Rivethead (1992) 207: We had won this particular go-round, but we all knew the big boys would be returning to the drawing board.
2001		K. Sampson Outlaws (ms.) 46: She can have a fight and all, too, by the way. She’ll have a little go round with any cunt, Marie will.

2. any form of encounter.

2008

R. Price Lush Life 65: Some of the roughest-looking ghettoheads would cry like a baby after one go-around in there [i.e. an interrogation room] .

be on one’s last go-round (v.)

(US black) to be reaching a termination, usu. death.

1911		in Jrnl. Amer. Folk-lore (1963) 24 277: I'm on my last go-round,..God knows Albirdie won't write to me.
1914		Tennessean (Nashville, TN) 1 Mar. 34/3: [headline] the last go round of the bird season.
1929		(con. WW1) Hall & Niles One Man’s War 110: They advised me not to try flying back that day, but I thought I was rather a good pilot and in the face of a storm-warning, I took off. It was very nearly my last go-’round, as the Kentucky negroes say.
1933		B. Moss ‘Midnight Rambler’ 🎵 She better ramble tonight and do her running around / I done bought myself a pistol, this is gonna be her last go round.