Poet with a house right behind me (5)
I believe the answer is:
homer
'poet' is the definition.
(Homer is an example)
'a house right behind me' is the wordplay.
'a house' becomes 'ho' (abbreviation for house).
'right' becomes 'R' (common abbreviation).
'behind' means one lot of letters go next to another.
'r' after 'me' is 'mer'.
'ho'+'mer'='HOMER'
'with' acts as a link.
(Other definitions for homer that I've seen before include "Cartoon father of Bart and Lisa" , "Ancient Greek poet" , "Great Greek author of the Odyssey" , "Racing pigeon?" , "Greek poet - TV's Simpson" .)