Outlying residential district provides relief for old city Bishop (6)
I believe the answer is:
suburb
'outlying residential district' is the definition.
'suburb' can be an answer for 'district' (suburb is a kind of district). I am not sure about the 'outlying residential' bit.
'relief for old city bishop' is the wordplay.
'relief' becomes 'sub' (I've seen this in another clue).
'for' says to put letters next to each other.
'old city' becomes 'ur' (ancient city state).
'bishop' becomes 'B' (chess abbreviation).
'sub'+'ur'+'b'='SUBURB'
'provides' is the link.
Can you help me to learn more?
(Other definitions for suburb that I've seen before include "District adjoining a town" , "Area on the outskirts of a city" , "Outer town area" , "Present (bill); melt down (fat)" , "Residential city area" .)