Green’s Dictionary of Slang

1. to leave very quickly, to rush off; to rush around; often with prep., eg ...about, ...away.

1946		W.L. Gresham Nightmare Alley (1947) 169: Tear-ass out of town, ride for hours.
1958		(con. 1940s) B. Behan Borstal Boy 321: There’s no need to tear-arse away.
1976		R. Price Blood Brothers 190: Eager to please, he tore ass out of the building to get Artie’s order.
1986		C. Bowles G’DAY 58: Mr Foster reckons he'd rather spend the weekends at home than tear-arsing around the countryside.
1986		C. Stroud Close Pursuit (1988) 204: He was in damn fine shape when he tear-assed all over Harlem with the cops at his tail.
1992		UGK ‘Trill Ass Nigga’ 🎵 See I put out my dope, get my cash, then I’m tearin ass / I’m in and out quick as day.
2012		T. Piccirilli Last Kind Words 169: [I] tore ass out of the lot with the tires smoking and squealing.

2. to attack violently.

1955

‘Hal Ellson’ Rock 81: Fifty Hoods would be around in ten minutes tearing ass of us.