City not wrong for writer (10)
I believe the answer is:
chesterton
'for writer' is the definition.
(writer GK Chesterton)
'city not wrong' is the wordplay.
'city' becomes 'chester' (Chester is an example).
'wrong' is an anagram indicator.
'not' with letters rearranged gives 'ton'.
'chester'+'ton'='CHESTERTON'
(Other definitions for chesterton that I've seen before include "English writer" , "London-born writer" , "Writer born in London" , "G K - -" , "Father Brown author" .)