Teacher with north-eastern poet (5)
I believe the answer is:
donne
'poet' is the definition.
(John Donne, 1572-1631)
'teacher with north-eastern' is the wordplay.
'teacher' becomes 'don' (don can mean an academic - especially at Oxbridge).
'with' is a charade indicator (letters next to each other).
'north eastern' becomes 'NE' (abbreviation).
'don'+'ne'='DONNE'
(Other definitions for donne that I've seen before include "English preacher and metaphysical poet, d. 1631" , "Writer of poetry" , "John -, English poet" , "basic assumption" .)