The responsibility of school to carry out: head of history fired (2,2,4,3)

'fired' is the definition.
(both can mean very excited)

'the responsibility of school to carry out head of history' is the wordplay.
I cannot quite understand how this works, but
'of' could be 'o' and 'o' is located in the answer.
'school' could be 'high' (high school is a kind of school) and 'high' is located in the answer.
'carry out' could be 'do' ('do' can be a synonym of 'carry out') and 'do' is found in the answer.
This explanation may well be incorrect...