Run married women's quarters (5)
I believe the answer is:
harem
'women's quarters' is the definition.
(I've seen this before)
'run married' is the wordplay.
'run' becomes 'hare' (haring is a kind of running).
'married' becomes 'm'.
'hare'+'m'='HAREM'
(Other definitions for harem that I've seen before include "Place for wives of 25 ac" , "Place for women" , "Group of wives" , "Women's place" , "Women's quarters in a Muslim house" .)