Poet in residence reading or writing? (5)
I believe the answer is:
homer
'poet' is the definition.
(Homer is an example)
'residence reading or writing' is the wordplay.
'residence' becomes 'home' (home is a kind of residence).
'reading or writing' becomes 'r' (two of the traditional 3 R's of education).
'home'+'r'='HOMER'
'in' is the link.
(Other definitions for homer that I've seen before include "Pigeon; Greek poet" , "returning flier" , "Old Greek epic poet" , "Ancient Greek poet" , "Great Greek author of The Iliad" .)