Consider cut in part of book (4,4)
I believe the answer is:
chew over
'consider' is the definition.
(thesaurus)
'cut in part of book' is the wordplay.
'cut' becomes 'hew' (hew can mean to chop or cut).
'in' means one lot of letters goes inside another.
'part of book' becomes 'cover' (I can't justify this - if you can you should believe this answer much more).
'hew' put within 'cover' is 'CHEW OVER'.
Can you help me to learn more?
(Other definitions for chew over that I've seen before include "Reflect on" , "Ponder" , "Think about informally - while masticating?" .)