Variety of clothes to be of use to the carpenter (9)

I believe the answer is:

toolchest

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'of use to the carpenter' is the definition.
I can't tell whether this defines the answer.

'variety of clothes to' is the wordplay.
'variety of' indicates an anagram.
'clothes'+'to'='clothesto'
'clothesto' is an anagram of 'TOOLCHEST'.

'be' is the link.

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I've seen this clue in The Irish News.

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