Had a go at and vexed one (5)

I believe the answer is:

tried

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'had a go at' is the definition.
(I've seen this in another clue)

I don't understand how the remainder of the clue works.

Can you help me to learn more?

(Other definitions for tried that I've seen before include "Made an attempt" , "Annoyed when obliged to accept a rule" , "Made an effort" , "Essayed" , "heard in court" .)

I've seen this clue in the Evening Standard.

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