... to get me a book (4)
I believe the answer is:
tome
'a book' is the definition.
(a tome is a book)
'to get me' is the wordplay.
'get' says to put letters next to each other.
'to'+'me'='TOME'
(Other definitions for tome that I've seen before include "Hefty volume" , "Heavy volume" , "Big book" , "A hefty book" , "Large, weighty book" .)