Matter of contention when one lives with a woman (5)
I believe the answer is:
issue
'matter of contention' is the definition.
(I've seen this before)
'one lives with a woman' is the wordplay.
'one lives' becomes 'is'.
'with' means one lot of letters go next to another.
'a woman' becomes 'sue' ().
'is'+'sue'='ISSUE'
'when' acts as a link.
(Other definitions for issue that I've seen before include "Offspring or edition" , "Regular publication" , "Continent" , "Give out; children" , "Children, offspring" .)