Enjoyed it, hopefully around a woman (5)
I believe the answer is:
edith
'a woman' is the definition.
(woman's name)
'enjoyed it hopefully around' is the wordplay.
'around' indicates the answer is hidden within the clue.
'EDITH' can be found hidden inside 'enjoyed it hopefully'.
(Other definitions for edith that I've seen before include "- Cavell, WW 1 heroine" , "- - Piaf, singer" , "Evans, Sitwell or Piaf" , "Female name" , "girl" .)