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' is a charade indicator (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" .)