Sexier rogue grabbing time to make up (11)
I believe the answer is:
extemporise
'make up' is the definition.
('make up'->'extemporize' is in my internal thesaurus and 'ize'->'ise')
'sexier rogue grabbing time' is the wordplay.
'rogue' is an anagram indicator (letters go rogue).
'grabbing' is an insertion indicator.
'time' becomes 'tempo' (tempo is a kind of time).
'sexier' is an anagram of 'exrise'.
'exrise' placed around 'tempo' is 'EXTEMPORISE'.
'to' is the link.
(Other definitions for extemporise that I've seen before include "Ad-lib" , "Perform unprepared" , "make up?" , "Ad lib" .)