Fleece as thin as tights, you'd say (5)

I believe the answer is:

shear

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'fleece' is the definition.
(synonyms)

I can't explain the remainder of the clue.

(Other definitions for shear that I've seen before include "Remove a fleece" , "Cut wool off (a sheep)" , "Remove sheep's wool" , "strain" , "Barber" .)

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