Crossword Genius

One oversensitive bit of skin on end of chin - it hurts shaving (9)


I believe the answer is:


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'skin on end of chin it hurts shaving' is the definition.
I can't judge whether this defines the answer.

'one oversensitive bit' is the wordplay.
'one oversensitive' becomes 'snow' (I am not sure about this - if you are sure you should believe this answer much more).
'bit' becomes 'flake' ('flake' can be a synonym of 'bit').

'of' is the link.

Can you help me to learn more?

(Other definitions for snowflake that I've seen before include "Soft precipitation" , "Feathery construction of tiny ice crystals" .)

I've seen this clue in The Telegraph.
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