Green’s Dictionary of Slang

drape v.

[drape n. (1)]

1. (US black, also drape down) to dress (up).

[US]A.E. Duckett ‘Truckin ’round Brooklyn’ in N.Y. Age 8 Feb. 7/1: Harry Richman of the town, who has a ‘rep’ for draping down.
[US]‘Digg Mee’ ‘Observation Post’ in N.Y. Age 29 Aug. 9/6: Harlem [...] is dead and still. Stachin’ and drapin’ isn’t the same upon ‘sugar hill’.
[US]L. Durst Jives of Dr. Hepcat (1989) 1: Let all the ickies drape in shape and fall from the pad hip to the tip and most mad.

2. (W.I.) to grab someone around the waist and aggressively lift them up.

[WI]Francis-Jackson Official Dancehall Dict. 15: Drape the act of grabbing someone in the waist and hoisting him onto his toes: u, drape de bwoy.

In derivatives

draper (n.)

(US black) a fashionable dresser.

Duckett & Staple ‘Double Feature’ in N.Y. Age 24 Apr. 7/2: Raymond Coleman has turned out to be quite a draper on Bruggemann’s money.

In phrases

drape up (v.)

(W.I. Rasta) to beat, to thrash.

[WI]M. Montague Dread Culture 71: When yuh play a trick pon someone or skip school, she will drape yuh up real hard.