Student in scrap with man is completely unconcerned (6)

I believe the answer is:

blithe

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'completely unconcerned' is the definition.
'blithe' can be an answer for 'unconcerned' (similar in meaning). I'm not certain of the 'completely' bit.

'student in scrap with man' is the wordplay.
'student' becomes 'l' (as in L-plates for learner drivers).
'in' indicates putting letters inside.
'scrap with' becomes 'bit' (synonyms. I am not sure about the 'with' bit.).
'man' becomes 'he'.
'l' placed inside 'bit' is 'blit'.
'blit'+'he'='BLITHE'

'is' is the link.

Can you help me to learn more?

(Other definitions for blithe that I've seen before include "Careless" , "'Hail to thee, ,,,,,, spirit'- Shelley (6)" , "Cheerful and carefree" , "light" , "Innocently happy" .)

I've seen this clue in The Guardian.

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