Right in not including extract (7)
I believe the answer is:
excerpt
'extract' is the definition.
(synonyms)
'right in not including' is the wordplay.
'right' becomes 'r' (common abbreviation).
'in' is an insertion indicator.
'not including' becomes 'except' (I've seen this before).
'r' placed into 'except' is 'EXCERPT'.
(Other definitions for excerpt that I've seen before include "Extracted passage from book" , "Literary taste" , "Short passage" , "Cutting" , "Passage selected from a book" .)