Green’s Dictionary of Slang

1. (US) having left, esp. having left suddenly.

1987		C. Griffin q. in Firestone Swing, Swing, Swing 226: ‘If he’d done that to me, I would have been out of there in five seconds and probably wouldn’t have ever come back’.
2008		D. Jenkins Franchise Babe 116: She said, ‘Dang, I’m quittin’ this stinkin’ job right now.’ And she was outta there.
2014		D. Jenkins His Ownself 235: [A]fter reading Rogin’s note, I knew I was out of there [i.e. a magazine].

2. (US) dismissed, thrown out.

1990

T. Pluto Loose Balls 58: They started having 3-on-3 games for 15 minutes. If you didn’t show much in that 15 minutes, you were outta there.