Recreation, I see, possibly from the tropics (5)

I believe the answer is:

sport

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'recreation' is the definition.
(sport is a kind of recreation)

I cannot understand how the remainder of the clue works.

(Other definitions for sport that I've seen before include "entertainment" , "Wear, display (an item)" , "Eg, rugby" , "Game; display" , "Games" .)

I've seen this clue in the Evening Standard.

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