Oh, undress oddly covers up (9)

I believe the answer is:

enshrouds

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'covers up' is the definition.
Although both the answer and definition are verbs in their -s form, I can't see how they can define each other.

'oh undress oddly' is the wordplay.
'oddly' indicates an anagram.
'oh'+'undress'='ohundress'
'ohundress' is an anagram of 'ENSHROUDS'.

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I've seen this clue in the Sydney Morning Herald.

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