Tattered old togs that are missing, pet (4,3)

I believe the answer is:

lost dog

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'are missing pet' is the definition.
I don't know anything about this answer so I cannot tell whether this works.

'tattered old togs' is the wordplay.
'tattered' indicates an anagram (a tattered or broken form of the letters).
'old'+'togs'='oldtogs'
'oldtogs' with letters rearranged gives 'LOST DOG'.

'that' is the link.

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I've seen this clue in the Evening Standard.

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