Drama after member of rowing crew shows one way to compete on course (10)
I believe the answer is:
'one way to compete on course' is the definition.
'drama after member of rowing crew' is the wordplay.
'drama' becomes 'play' (synonyms).
'after' means one lot of letters go next to another.
'member of rowing crew' becomes 'stroke' (I've seen this before).
'play' after 'stroke' is 'STROKEPLAY'.
'shows' acts as a link.
(Another definition for strokeplay that I've seen is " a way to score, of course?".)