Golfer arranged to host a quiet game (8)
I believe the answer is:
leapfrog
'game' is the definition.
(leapfrog is a kind of game)
'golfer arranged to host a quiet' is the wordplay.
'arranged' indicates an anagram.
'to host' indicates putting letters inside (inserted letters are hosted or welcomed).
'quiet' becomes 'p' (music symbol for 'piano', ie soft or quiet).
'golfer' with letters rearranged gives 'lefrog'.
'a'+'p'='ap'
'lefrog' going around 'ap' is 'LEAPFROG'.
(Other definitions for leapfrog that I've seen before include "Children's game of jumping over each other" , "Children's game in which one jumps over the other alternately" , "Jump over" , "Advance by jumping over the opposition" , "Child's game of jumping over other children" .)