Relax. Just tell the dog not to damage your slippers (4,5)

I believe the answer is:

dont worry

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'relax just tell the dog' is the definition.
I don't know anything about this answer so I cannot tell whether this works.

'not to damage your slippers' is the wordplay.
I cannot quite understand how this works, but
an anagram of 'not' is 'ont' which is located in the answer.
This explanation may well be incorrect...

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I've seen this clue in the Evening Standard.

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