A garment cut in a new style (5)

I believe the answer is:

tunic

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'a garment' is the definition.
(historical type of garment)

'cut in a new style' is the wordplay.
'cut in' anagrams to 'TUNIC'.
Though, I'm unsure how this is indicated.

Can you help me to learn more?

(Other definitions for tunic that I've seen before include "Smock" , "Simple garment" , "Loose fitting light cloak extending to the hip or lower" , "Schoolgirl's dress" , "Belted coat" .)

I've seen this clue in The Irish Independent.

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