How chuck would chat up the shrinking Violet? (5)

I believe the answer is:

shyly

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'how chuck would chat up' is the definition.
I can't tell whether this defines the answer.

'shrinking violet?' is the wordplay.
'shrinking' becomes 'shy' (I've seen this in another clue).
'violet?' becomes 'ly' (I can't explain this - if you can you should believe this answer much more).
'shy'+'ly'='SHYLY'

'the' is the link.

Can you help me to learn more?

(Other definitions for shyly that I've seen before include "In a timid manner" , "Nervously, timidly" , "In reserved way" .)

I've seen this clue in the Evening Standard.

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