Dance a woman’s beginning to accompany outside a bar (8)
I believe the answer is:
habanera
'dance a woman's beginning' is the definition.
'habanera' can be an answer for 'dance' (Cuban dance). I am unsure of the 'a woman's beginning' bit.
'accompany outside a bar' is the wordplay.
'accompany' becomes 'hera' (I can't explain this - if you can you should believe this answer much more).
'outside' indicates putting letters inside.
'bar' becomes 'ban' (I've seen this in other clues).
'a'+'ban'='aban'
'hera' going around 'aban' is 'HABANERA'.
'to' acts as a link.
(Other definitions for habanera that I've seen before include "Cuban dance in slow duple time" , "Slow dance of Cuban origin" , "Steps" .)