Record that may have slipped (4)

I believe the answer is:

disc

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'record' is the definition.
(eg a CD, compact disc)

I don't understand how the remainder of the clue works.

(Other definitions for disc that I've seen before include "Body without limbs" , "Protein-constituent acid" , "Old record" , "jockey may be after" , "Thin circular plate, as in CD" .)

I've seen this clue in The Mirror.

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