Green’s Dictionary of Slang

(US black) to stare at; to asses.

1941		D. Burley N.Y. Amsterdam Star-News 19 July 13: Somebody is gimming me from a peeper in th’ slammer.
1943		D. Burley N.Y. Amsterdam News 9 Oct. 20: I had been gimming every play along the line.
1944		D. Burley Orig. Hbk of Harlem Jive 13: I’m gunning this fine banana, and she finally gims me kinda hard.