Tear strip off floor covering (6)

I believe the answer is:

carpet

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'floor covering' is the definition.
(carpet is a kind of floor covering)

I cannot understand how the remainder of the clue works.

Can you help me to learn more?

(Other definitions for carpet that I've seen before include "Reprimand severely" , "Runner perhaps" , "Heavy fabric for floors" , "Tick off" , "roll of fabric?" .)

I've seen this clue in The Sun.

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