Coarse fibre derived from a Mexican agave plant (5)

I believe the answer is:

sisal

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'agave plant' is the definition.
(I've seen this in another clue)

I can't explain the rest of the clue.

(Other definitions for sisal that I've seen before include "Fibrous plant used for rope" , "Fibre of Mexican agave" , "Agave rope-fibre" , "Sails (anag) - fibre" , "Natural fibre" .)

I've seen this clue in The Times.

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