Divorce overdue, after one's ring (7)
I believe the answer is:
isolate
'divorce' is the definition.
(divorce can mean to isolate or separate)
'overdue after one's ring' is the wordplay.
'overdue' becomes 'late' (similar in meaning).
'after' is a charade indicator (letters next to each other).
'one's' becomes 'i's' (Roman numeral).
'ring' becomes 'O' (letter resembling a ring).
'is'+'o'='iso'
'late' put after 'iso' is 'ISOLATE'.
(Other definitions for isolate that I've seen before include "Segregate. close off" , "Segregate or quarantine" , "Set apart from others" , "Cut off from all contact" , "split up" .)