Puts on a mask and takes off Elvis (5)

I believe the answer is:

veils

I'm a little stuck... Click here to teach me more about this clue!

'puts on a mask and' is the definition.
I can't judge whether this defines the answer.

'off elvis' is the wordplay.
'off' indicates an anagram.
'elvis' anagrammed gives 'VEILS'.

'takes' acts as a link.

Can you help me to learn more?

(Other definitions for veils that I've seen before include "Obscures" , "See 20" , "Covers or partly conceals - bride's face?" , "coverage" , "Garments to cover head and face" .)

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

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