Crossword Genius

Become weary of what has some sort of merit (4)

Ross

I believe the answer is:

tire

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'become weary' is the definition.
(I've seen this before)

I can't explain the remainder of the clue.

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(Other definitions for tire that I've seen before include "Become weary" , "Exhaust" , "Fatigue" , "Grow weary of rithe" , "Grow weary of rite" .)

I've seen this clue in the Evening Standard.
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