Ohhhhh I gotcha. Thanks for linking it to Wikipedia! I think I got confused because I didn't see the relation with stick, and I feel like the abbreviated form of the word used to describe a cigarette is quite an outdated term now.

Honestly when you mentioned smoke, I was thinking of it as a noun with the second context you mentioned. But not being a tobacco smoker myself, the devil's lettuce popped into my mind instead.