without "thesaurus" and Google gave me this:

toking present participle of toke
Verb
Smoke marijuana or tobacco: "he muses while toking on a cigarette"; "we toked some grass".

ThesaurusLegend: Synonyms Related Words Antonyms
Noun 1. toke - a puff of a marijuana or hashish cigarette; "the boys took a few tokes on a joint"
drag, pull, puff - a slow inhalation (as of tobacco smoke); "he took a puff on his pipe"; "he took a drag on his cigarette and expelled the smoke slowly"


Of course, toking IS puffing but I always associated it with weed only. You can puff on any smokable thing but toking is for joints.

Thanks!

but you can call the cigar a stick and you'll look hip to the lingo. lol

And, of course, when referring to a cigar it is not uncommon to talk about the draw. Drawing on it is puffing.

And I found you this: http://www.puff.com/Content/Puff-Lifestyle/cigar-lingo.html

I wanted the character to be able to talk after he puffed on his cigar, so draw seemed to be better than puffing, in the end. The other way made it sound like he was hyperventilating.

and then you have to actually click the link that confirms you meant toking.