Old Greek house on the right (5)
I believe the answer is:
homer
'old greek' is the definition.
'Homer' can be an answer for 'greek' (Homer is an example). I'm not certain of the 'old' bit.
'house on the right' is the wordplay.
'house' becomes 'home' (homing is a kind of housing).
'on' says to put letters next to each other.
'the right' becomes 'r' (common abbreviation).
'home'+'r'='HOMER'
Can you help me to learn more?
(Other definitions for homer that I've seen before include "Pigeon; Greek poet" , "Epic poet - score at baseball - kind of pigeon" , "makes round trip by air" , "Racing pigeon?" , "Ancient Greek author" .)