Greedy fellow's house at Gateshead (3)
I believe the answer is:
hog
'greedy fellow's' is the definition.
(hog can mean a greedy person)
'house at gateshead' is the wordplay.
'house' becomes 'ho' (abbreviation for house).
'at' says to put letters next to each other.
'gateshead' becomes 'g' (head letter of 'gates').
'ho'+'g'='HOG'
(Other definitions for hog that I've seen before include "Pig, who holds the road perhaps" , "source of meat" , "Take greedily" , "Selfishly keep" , "A male pig or a greedy person" .)