Prince unhappy with court and shopping centre (8)
I believe the answer is:
precinct
'shopping centre' is the definition.
(I've seen this before)
'prince unhappy with court' is the wordplay.
'unhappy' indicates an anagram.
'with' means one lot of letters go next to another.
'court' becomes 'ct'.
'prince' with letters rearranged gives 'precin'.
'precin'+'ct'='PRECINCT'
'and' is the link.
(Other definitions for precinct that I've seen before include "Town shopping area" , "Ward" , "(E.g. pedestrian) zone" , "District of a city or town marked out for a particular purpose" , "Enclosed space around, eg, a cathedral" .)