Greek goddess inspires a bar dance (8)
I believe the answer is:
habanera
'dance' is the definition.
(Cuban dance)
'greek goddess inspires a bar' is the wordplay.
'greek goddess' becomes 'hera' (wife and sister of Zeus in Greek myth).
'inspires' is an insertion indicator (inspire means to breathe in).
'bar' becomes 'ban' (I've seen this before).
'a'+'ban'='aban'
'hera' going around 'aban' is 'HABANERA'.
(Other definitions for habanera that I've seen before include "Slow dance of Cuban origin" , "Cuban dance in slow duple time" , "Steps" .)