Classy fellow? (10)

I believe the answer is:

schoolmate

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'classy fellow?' is the definition.
'schoolmate' can be an answer for 'fellow?' (thesaurus). I'm not sure about the 'classy' bit.

'classy fellow?' is the wordplay.
'classy' becomes 'school' (I can't explain this - if you can you should give a lot more credence to this answer).
'fellow?' becomes 'mate' (I've seen this before).
'school'+'mate'='SCHOOLMATE'

Can you help me to learn more?

(Other definitions for schoolmate that I've seen before include "Friends Reunited contact" , "childhood chum" , "Young friend" , "fishwife?" , "Childhood friend" .)

I've seen this clue in The Independent.

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