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Arrogant! College closed due to heater not working? (3,4,3,6)

Ross

I believe the answer is:

too cool for school

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

'working?' is the definition.
I know nothing about this answer so I cannot judge whether it can be defined by this definition.

'arrogant college closed due to heater not' is the wordplay.
I cannot quite understand how this works, but
'college' could be 'school' (I've seen this before) and 'school' is present in the answer.
'closed' could be 'to' (as in a door closed to) and 'to' is present in the answer.
'to' could be 'for' and 'for' is found in the answer.
'not' could be 'o' (I've seen this in other clues) and 'o' is found in the answer.
The remaining letters 'cool' is a valid word which might be clued in a way I don't understand.
This may be the basis of the clue (or it may be nonsense).

Can you help me to learn more?

I've seen this clue in the Sydney Morning Herald.
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