A divorcee takes it on the way out (4)
I believe the answer is:
exit
'the way out' is the definition.
(synonyms)
'a divorcee takes it' is the wordplay.
'a divorcee' becomes 'ex' (an ex-spouse).
'takes' means one lot of letters go next to another.
'ex'+'it'='EXIT'
'on' acts as a link.
(Other definitions for exit that I've seen before include "Withdrawal" , "Leave the stage" , "Player's departure" , "walk away" , "Way to leave" .)