the Cyclopes of the Odyssey are quite different from the Cyclopes in Hesiod and elsewhere. Elsewhere they are gods; in the Odyssey they are mortals. Elsewhere there are three of them… in the Odyssey they are apparently numerous
Lattimore establishes the fundamental mythological bifurcation of the Cyclopes tradition — divine smiths in Hesiod, savage herdsmen in Homer — and notes that the only stable feature across traditions is the single eye and the name.
, Odyssey of Homer, 2009thesis