Incorrigible scoundrel beginning to seduce head girl (10)

I believe the answer is:

scapegrace

I'm a little stuck... Click here to teach me more about this clue!

'incorrigible scoundrel' is the definition.
'scapegrace' can be an answer for 'scoundrel' (thesaurus). I'm unsure of the 'incorrigible' bit.

'beginning to seduce head girl' is the wordplay.
'beginning to' suggests taking the first letters.
'head' becomes 'cape' (both can mean a piece of land jutting over the sea).
'girl' becomes 'grace' ().
The initial letter of 'seduce' is 's'.
's'+'cape'+'grace'='SCAPEGRACE'

Can you help me to learn more?

(Other definitions for scapegrace that I've seen before include "Wayward type" , "Incorrigible (young) rascal - a scarce peg (anag)" .)

I've seen this clue in The Telegraph.

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