Save Type Surname (from given name) Usage English, Irish Pronounced Pron. GRIEMZ(English) [key] Meaning & History Patronymic derived from Grime.Grime itself is derived from the medieval personal name Grim, an Anglo-Scandinavian form of Old Norse Grímr, which meant "masked person" or "shapeshifter". In Norse mythology, Grímr was a byname of the god Odin.