Where does “че́ствовать” come from?
че́ствовать (Russian) comes from Russian че́сть, from Old Church Slavonic чьсти, from Proto-Slavic čisti, from Proto-Balto-Slavic (s)keistéi, from Proto-Indo-European *(s)kʷéyt-t ~ *(s)kit-ént, from Proto-Indo-European kʷeyt- — to notice; to read.
Ancestry of “че́ствовать”, step by step
Words derived from “че́ствовать”