Dodgy character turned over celebrities (4)
I believe the answer is:
spiv
'dodgy character' is the definition.
(I know this)
'turned over celebrities' is the wordplay.
'turned over' says the letters should be written backwards.
'celebrities' becomes 'vips' (I've seen this before).
'vips' in reverse letter order is 'SPIV'.
(Other definitions for spiv that I've seen before include "shady character" , "Wide boy" , "Person living off various dubious schemes" , "Flashy black-marketeer" , "Arthur Daley type" .)