Rubber coat from ASOS worn by that woman twice - husband's always absent (6)

I believe the answer is:

eraser

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'rubber' is the definition.
(rubber can mean an eraser)

I don't understand the rest of the clue.

(Other definitions for eraser that I've seen before include "An Indian rubber" , "Rubbing-out device" , "Implement to rub out" , "What a poor artist needs" , "(Pencil, ink) rubber" .)

I've seen this clue in The Independent.

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