Green’s Dictionary of Slang

weave n.

1. clothing.

1972

D. Claerbaut Black Jargon in White America 86: weave n. clothes; attire; dress.

2. false hair; hair extensions; also attrib.

1989		G. Tate ‘Adeva’ in Flyboy in the Buttermilk (1992) 113: Adeva ain’t no fake; she’s skying a mean Cameo haircut, having rejected her record company’s entreaties that she get a weave.
1994		G. Indiana Rent Boy 16: Some fart with a bad weave job.
2004		Kanye West ‘All Falls Down’ 🎵 Had her hair so long it look like weave.
2015		P. Beatty Sellout (2016) 101: Rapunzel, Rapunzel, let down your weave!
2021		T. Swerdlow Straight Dope [ebook] A hardworking mid-forties sister with a bad weave.

In compounds

weave hustling (n.)

(US Und.) selling spurious cloth.

1937

‘Boxcar Bertha’ Sister of the Road (1975) 307: weave hustling — selling spurious cloth.

In phrases

put the weave on (v.)

to deceive, to trick.

1971

H.E. Roberts Third Ear n.p.: weave n. dodge; e.g. Did you see me put the weave on him?