Entertain a goddess (5)
I believe the answer is:
amuse
'entertain' is the definition.
(I know that amuse is a more specific form of the action entertain)
'a goddess' is the wordplay.
'goddess' becomes 'muse' (I have seen 'Inspiring goddess ' mean 'muse' so perhaps 'goddess' could also mean 'muse').
'a'+'muse'='AMUSE'
(Other definitions for amuse that I've seen before include "Keep occupied" , "Tickle" , "Make (someone) laugh" , "interest" , "Delight" .)