Half the fans left the party with a famous golfer (5)
I believe the answer is:
faldo
'famous golfer' is the definition.
'faldo' can be an answer for 'golfer' (I've seen this before). I'm not certain of the 'famous' bit.
'half the fans left the party' is the wordplay.
'half the' indicates taking half.
'left' becomes 'l' (common abbreviation).
'the party' becomes 'do' (do is a kind of party).
'fans' halved is 'fa'.
'fa'+'l'+'do'='FALDO'
'with a' acts as a link.
Can you help me to learn more?
(Other definitions for faldo that I've seen before include "Winner of the 1987, 1990 and 1992 Open" , "Nick --, golfer" .)