Most arguments are about celebrity (4)
I believe the answer is:
star
'celebrity' is the definition.
(a star is a celebrity or famous person)
'most arguments are about' is the wordplay.
'are about' says the answer is hidden in the clue (the clue goes around or about the answer).
'STAR' can be found hidden inside 'most arguments'.
(Other definitions for star that I've seen before include "Point of light in the heavens" , "Heavenly light" , "A .... called Henry (Roddy Doyle)" , "chamber" , "Celebrity - shining light" .)