Polycaste was the daughter of Nestor and Anaxibia who married Telemachus. The second element of her name is not immediately translatable - 'many of what?' or 'much what?'. Perhaps we can consider, as for Castor and Epicaste, the origin cosmeo, 'to adorn'. She will then be 'much adorned'. This seems a reasonable name for a princess, since she was the daughter of a king, after all.