Hair product carried by famous senator (6)
I believe the answer is:
mousse
'hair product' is the definition.
(I've seen this before)
'carried by famous senator' is the wordplay.
'carried by' indicates a hidden word.
'MOUSSE' is hidden in the letters of 'famous senator'.
(Other definitions for mousse that I've seen before include "Gel" , "hair product" , "Whipped savoury dish" , "Dish; hair preparation" , "Whipped cream dessert" .)