An all-girl sort of band (5)

I believe the answer is:

alice

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'band' is the definition.
(I've seen this before)

'an all-girl sort' is the wordplay.
'an' becomes 'a'.
'all girl sort' becomes 'lice' (I can't explain this - if you can you should give a lot more credence to this answer).
'a'+'lice'='ALICE'

'of' is the link.

Can you help me to learn more?

(Other definitions for alice that I've seen before include "Adventurous girl created by Lewis Carroll" , "Carroll heroine" , "She fell down a rabbit hole into a fantasy world" , "Wonderland girl; --- B. Toklas" , "Carrol's heroine" .)

I've seen this clue in the Evening Standard.

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