Accommodating woman with young man in outskirts of Londonderry (8)
I believe the answer is:
landlady
'accommodating woman' is the definition.
(woman providing accommodation)
'with young man in outskirts of londonderry' is the wordplay.
'with' becomes 'and'.
'young man' becomes 'lad' (I've seen this before).
'in' is an insertion indicator.
'outskirts of' suggests removing the centre.
'londonderry' with its centre taken out is 'ly'.
'and'+'lad'='andlad'
'andlad' put inside 'ly' is 'LANDLADY'.
(Other definitions for landlady that I've seen before include "She takes in lodgers" , "She rents out property" , "Renter" , "country-woman" , "Provider of digs" .)