Deans going out with her (4)
I believe the answer is:
edna
'her' is the definition.
(I've seen this before)
I can't explain the remainder of the clue.
Can you help me to learn more?
(Other definitions for edna that I've seen before include "Barry Humphries' Dame" , "- O'Brien, Irish writer" , "Dame - Everage, housewife-superstar" , "Famous dame" , "Girl's name; Dane (anag.)" .)