Arrive bearing a new lip make up (7)
I believe the answer is:
compile
'make up' is the definition.
(thesaurus)
'arrive bearing a new lip' is the wordplay.
'arrive' becomes 'come' (coming is a kind of arriving).
'bearing' indicates putting letters inside.
'a new' is an anagram indicator.
'lip' anagrammed gives 'pil'.
'come' going around 'pil' is 'COMPILE'.
(Other definitions for compile that I've seen before include "Put together" , "Marshal" , "Polemic (anag.)" , "Assemble (a collection)" .)