Badly torn, too, in the city (7)
I believe the answer is:
toronto
'the city' is the definition.
(Toronto is an example)
'badly torn too in' is the wordplay.
'badly' indicates an anagram.
'in' means one lot of letters goes inside another.
'torn' anagrammed gives 'ront'.
'ront' put inside 'too' is 'TORONTO'.
(Other definitions for toronto that I've seen before include "Second city of Canada" , "Big city" , "place on Lake Ontario" , "North American city" , "Provincial capital" .)