Green’s Dictionary of Slang

(US black) the padded cuff of a draped suit.

1942		B. O’Brien ‘I Wanna Zoot Suit’ 🎵 I wanna zoot suit with a reet pleat/ With a drape shape and a stuff cuff / To look sharp enough to see my Sunday girl.
1978		(con. WWII) T. Sanchez Hollywoodland (1981) 177: Get yourself up in some pants with stuff-cuffs, reet-pleats.
1987		(con. 1940s) J. Ellroy Black Dahlia Prologue 🌐 Word hit the papers that the zooters were packing Nazi regalia along with their switchblades, and hundreds of in-uniform soldiers, sailors and marines descended on downtown LA, armed with two-by-fours and baseball bats. [...] Our service revolvers had been taken from us at the station; the brass did not want .38’s falling into the hands of reet pleat, stuff cuff, drape shape, Argentine ducktail Mexican gangsters.