A verb in the Gnomish Lexicon of the 1910s with various glosses: “depart, go, leave”, “c. gen. leave the place of, time of, speaker”, and “go forward” (GL/58). Below it Tolkien wrote another word G. mu whose gloss may be “flow” or “from” according to the editors. This mu may be the basis of the verb mútha-, especially if mu means “from”.
Gnomish
gen
noun. closed hand, grip
-gen
suffix. *earth
mútha-
verb. to depart, go, leave; (c. gen.) to leave the place of or time of speaker; to go forward
An unglossed suffix in the Gnomish Lexicon of the 1910s, final element of G. grosgen “soil”, and cognate to ᴱQ. kēmi “earth, soil, land” (GL/42), and so probably derived from the root ᴱ√KEME “soil” (QL/46).