Writer eagles on the smallest golf course (6,9)
I believe the answer is:
ernest hemingway
'writer' is the definition.
(Ernest Hemingway is an example)
'eagles on the smallest golf course' is the wordplay.
'eagles' becomes 'ernes' (erne is a kind of eagle).
'on' is a charade indicator (letters next to each other).
'smallest' becomes 'min' (abbreviation for minimum).
'golf' becomes 'g' (phonetic alphabet: alpha, bravo, charlie etc.).
'course' becomes 'way' (way is a kind of course**).
'ernes'+'the'+'min'+'g'+'way'='ERNEST HEMINGWAY'
(Other definitions for ernest hemingway that I've seen before include "A new genre is myth (anag) - author" , "Writer" .)