Willing to see golf celebrity losing first (4)
I believe the answer is:
game
'willing' is the definition.
(I've seen this before)
'golf celebrity losing first' is the wordplay.
'golf' becomes 'g' (phonetic alphabet: alpha, bravo, charlie etc.).
'celebrity' becomes 'fame' (synonyms).
'losing first' means to remove the first letter.
'fame' with its first letter taken away is 'ame'.
'g'+'ame'='GAME'
'to see' is the link.
(Other definitions for game that I've seen before include "See 3" , "Food from wild animals" , "Something to play or to chase" , "hangman say?" , "Pastime - quarry" .)