Dance song covered by a sportsman (10)

I believe the answer is:
ballplayer
'sportsman' is the definition.
(I've seen this before)
'dance song covered by a' is the wordplay.
'dance' becomes 'ball' (ball is a kind of dance).
'song' becomes 'lay' (poetic term for a song).
'covered by' indicates putting letters inside.
'a' becomes 'per' (eg 'one a day' means 'one per day').
'lay' put into 'per' is 'player'.
'ball'+'player'='BALLPLAYER'
(Another definition for ballplayer that I've seen is " sportsman".)
I've seen this clue in The Times and The Sunday Times.
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