Bill has no time for such an exhibitionist (5)
I believe the answer is:
poser
'an exhibitionist' is the definition.
(poser is a kind of exhibitionist)
'bill has no time for' is the wordplay.
'bill' becomes 'poster' ('poster' can be a synonym of 'bill').
'has no' indicates named letters should be taken away.
'time for' becomes 't' (I've seen this in other clues).
'poster' with 't' taken away is 'POSER'.
'such' is the link.
(Other definitions for poser that I've seen before include "Exhibitionist" , "Question; one trying to impress" , "Problem to be solved" , "Baffling question or problem" , "What's difficult" .)