Starts to run off couple of chapters bound in product of cow (leather) (7)

I believe the answer is:

morocco

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'leather' is the definition.
(morocco is a kind of leather)

I cannot understand how the rest of the clue works.

(Other definitions for morocco that I've seen before include "Country in North Africa" , "Fine soft leather from goatskin" , "Hide" , "Rabat's country" , "state of Africa" .)

I've seen this clue in The Telegraph.

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