Green’s Dictionary of Slang

climb n.2

[ety. unknown; ? it makes one climb (up) the walls under climb v. or play on high adj.1 (3)]

(US drugs) a marijuana cigarette.

[US]Mezzrow & Wolfe Really the Blues 217: Here, pick up Sonny, the climb’s on me.
[US]ONDCP Street Terms 6: Climb — Marijuana cigarette.