Patronymic from Shuwach; a Shuchite or descendant of Shuach -- Shuhite.
see HEBREW Shuwach
H7747. Shuchi
שֻׁחִי שׁוּחִי, adjective, of a people of שׁוּחַ (HilprAsayriaca i (1894), 56 compare Assyrian mSu-—a-ai); — הַשּׁו ׳בִּלְדַּד Job 2:11; 8:1; 42:9; ׳הַשּׁ 18:1; 25:1; ὁ Σαυχ(ε)ιτης, (Σαυχαιων).