After treatment Alice is a new woman (5)

I believe the answer is:

celia

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'new woman' is the definition.
'Celia' can be an answer for 'woman'. I am unsure of the 'new' bit.

'after treatment alice' is the wordplay.
'after treatment' indicates an anagram (letters treated or processed in a new way).
'alice' anagrammed gives 'CELIA'.

'is a' is the link.

Can you help me to learn more?

(Other definitions for celia that I've seen before include "lady" , "Daughter to Frederick" , "Character in Tales from Shakespeare" , "Rosalind's cousin" , "Frederick's daughter" .)

I've seen this clue in The Globe and Mail.

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