Ecstatic feeling from, perhaps, Odyssey (8)
I believe the answer is:
rhapsody
'ecstatic feeling' is the definition.
'from perhaps odyssey' is the wordplay.
'from' says the answer is hidden in the clue.
'RHAPSODY' can be found hidden inside 'perhaps odyssey'.
(Other definitions for rhapsody that I've seen before include "Ecstatic written or romantic musical composition" , "Ecstatic utterance" , "Pretend to be what one is not" , "Moving piece of music" , "Ecstatic statement or romantic musical composition" .)