Book name - 'Love Broken by City (7)
I believe the answer is:
novella
'book' is the definition.
(I've seen this before)
'name 'love broken by city' is the wordplay.
'name' becomes 'n' (common abbreviation e.g. on forms).
'broken by' is an anagram indicator (a broken form of the letters).
'city' becomes 'LA' (Los Angeles).
'love' with letters rearranged gives 'ovel'.
'n'+'ovel'+'la'='NOVELLA'
(Other definitions for novella that I've seen before include "Composition" , "Slim volume of fiction" , "Short fictional piece" , "Nothing like War and Peace" , "piece of fiction" .)