Clymene \c-lyme-ne, cl(y)-mene\ as a girl's name is of Greek origin, and the meaning of Clymene is "renowned one". Greek mythology: most notably the the daughter of Oceanus and mother of Atlas and Promethus, though several legendary figures also bear this name.
Baby names that sound like Clymene are Clemence and Clemency. Other similar baby names are Clarene, Caylen, Cailene, Carmine, Carmen, Clarine, Clairene, Clemmie, Cleone, Colene, Collene, Elmena, Almena, Gaylene, Glenene, Kaylene, Kylene and Filomene.