Big Apple borough (8)
'big apple borough' is the definition.
(I've seen this before)
This is the entire clue.
(Other definitions for brooklyn that I've seen before include "New York borough with famous bridge." , "NYC borough, book and film" , "New York City borough" , "District and bridge in New York" , "Big Apple borough" .)
(Other definitions for queens that I've seen before include "[COLLEGE] < Tennis club" , "Belfast university" , "NY borough; two Oxbridge colleges" , "powerful men on board" , "College - New York borough" .)