Green’s Dictionary of Slang

dusty adj.3

[dust n. (5)]

(US drugs) pertaining to narcotic use.

[US]Simon & Burns Corner (1998) 514: DeAndre actually looks dusty, his face and neck showing that dull sheenless pallor that can only come from a hard drug sucking at life itself.
[US]Simon & Burns ‘Hot Shots’ Wire ser. 2 ep. 3 [TV script] ‘You look dusty lately’ [...] ‘Every now and again. It’s all i got to get my head up out of this shithole’.