Green’s Dictionary of Slang

1. the eyes.

1633		Ford ’Tis Pity She’s a Whore IV iii: Let me come to her; I’ll help your old gums, you toad-bellied bitch. Sirs, carry her closely into the coalhouse, and put out her eyes instantly.
1821		‘An Amateur’ Real Life in London I 124: Ain’t it a great shame that a Jontleman of Ireland can’t walk the streets of London without having poratees and butter-milk throw’d in his gums?
1944		Cab Calloway New Hepsters Dict. in Calloway (1976) 256: gums (n.): the eyes.

2. (US black) the lips, the mouth.

1944

‘Jiver’s Bible’ in D. Burley Orig. Hbk of Harlem Jive.