Where does “tütmek” come from?

tütmek (Turkish) comes from Ottoman Turkish توتمك, from Proto-Turkic tüt(e)- — to smoke.

Ancestry of “tütmek”, step by step

Step	Language	Word	Meaning
1	Ottoman Turkish	توتمك	to give out smoke
2	Proto-Turkic	tüt(e)-	to smoke