The male does try to throw its rider (4)

I believe the answer is:

buck

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'the male' is the definition.
(male deer)

I can't explain the remainder of the clue.

(Other definitions for buck that I've seen before include "Male animal - dollar" , "Male rabbit, deer etc" , "(Of a horse) jump vertically with legs stiff and back arched" , "A slangy American dollar, may be fast" , "impetuous youth" .)

I've seen this clue in the Evening Standard.

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