Lose with harpy playing rough sport (9)

I believe the answer is:

horseplay

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'rough sport' is the definition.
'horseplay' can be an answer for 'sport' (thesaurus). I am unsure of the 'rough' bit.

'lose with harpy playing' is the wordplay.
'with' says to put letters next to each other.
'playing' is an anagram indicator.
'lose'+'harpy'='loseharpy'
'loseharpy' is an anagram of 'HORSEPLAY'.

Can you help me to learn more?

(Other definitions for horseplay that I've seen before include "Boisterous rowdy recreation" , "Rough boisterous action" , "Shop early (anag) - tomfoolery" , "Rough boisterous behaviour" , "rough and tumble" .)

I've seen this clue in The Times.

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