Green’s Dictionary of Slang

1. to hide a (marijuana) cigarette inside the cupped fingers.

1964

Larner & Tefferteller Addict in the Street (1966) 27: Just cuff it up in my hand without nobody seeing me and keep on smoking it, just like if I’m smoking a cigarette.

2. to hide anything.

1997

G. Sikes 8 Ball Chicks (1998) 247: Cuffing the receiver, she lowered her voice.