Kept back popular book (2,7)
I believe the answer is:
in reserve
'kept back' is the definition.
(I've seen this before)
'popular book' is the wordplay.
'popular' becomes 'in'.
'book' becomes 'reserve' (synonyms).
'in'+'reserve'='IN RESERVE'
(Other definitions for in reserve that I've seen before include "available for use if needed" , "extra" , "Held back" , "kept for emergency use" , "kept for later" .)