Pleasure-seeker set out real alternative (5-5)
I believe the answer is:
lotus-eater
'pleasure-seeker' is the definition.
(a lotus-eater is someone who pursues luxury)
'set out real alternative' is the wordplay.
'alternative' indicates an anagram.
'set'+'out'+'real'='setoutreal'
'setoutreal' with letters rearranged gives 'LOTUS-EATER'.
(Other definitions for lotus-eater that I've seen before include "One given to indulgence in pleasure and luxury" , "One indulging in pleasure and luxury, as described in Homer's Odyssey" , "One living indolently - mythical person met by Odysseus in North Africa" , "Indolent person" .)