One might wear stuff made from latex (6)

I believe the answer is:

rubber

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'latex' is the definition.
(I know that rubber is a type of latex)

I cannot understand how the rest of the clue works.

(Other definitions for rubber that I've seen before include "Elastic substance - unit of play (at bridge)" , "Elastic substance from trees" , "material with some flexibility" , "Boring, obsessive type" , "in the stationery cupboard?" .)

I've seen this clue in The Independent.

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