Celebrity drummer not quite all there (4)
I believe the answer is:
star
'celebrity' is the definition.
(a star is a celebrity or famous person)
I can't explain the rest of the clue.
Can you help me to learn more?
(Other definitions for star that I've seen before include "Luminary" , "- - of Bethlehem" , "Five-pointed celestial body" , "A .... called Henry (Roddy Doyle)" , "A heavenly body or film favourite" .)