Green’s Dictionary of Slang

(US black) in pl., the eyes.

1941		D. Burley N.Y. Amsterdam Star-News 5 Apr. 13: He laid his gims on Homey, dug him up and down.
1944		D. Burley Orig. Hbk of Harlem Jive 12: His sky is righteous and hooks over his gimmers like pie crust over the rim of a pan. [Ibid.] 53: Let your gims dig until you get the beam.
1958		D. Burley N.Y. Amsterdam News 22 Mar. 13: Gims that were deceivers back of the smoked rimmers he wore on his glimmers.