Hothead did reveal being drunk (9)
I believe the answer is:
'hothead' is the definition.
(I know that hothead can be written as daredevil)
'did reveal being drunk' is the wordplay.
'being drunk' is an anagram indicator.
'didreveal' is an anagram of 'DAREDEVIL'.
(Other definitions for daredevil that I've seen before include "Someone who enjoys being reckless" , "Seeker after danger" , "Intrepid" , "Reckless showoff" , "One who enjoys dangerous activities" .)