Genesis short of celebrity (4)
I believe the answer is:
star
'celebrity' is the definition.
(I've seen this before)
'genesis short' is the wordplay.
'genesis' becomes 'start'.
'short' means to remove the last letter.
'start' with its last letter removed is 'STAR'.
'of' acts as a link.
(Other definitions for star that I've seen before include "Twinkling celestial body" , "Sign of a leading performer" , "personality?" , "Cult sci-fi film" , "Famous entertainer" .)