Far-reaching hunger (4)
I believe the answer is:
long
I believe this is a double definition.
'far' is the first definition.
('long' can be similar in meaning to 'far')
'hunger' is the second definition.
(both can mean to crave)
'reaching' is the link.
(Other definitions for long that I've seen before include "Extensive - pine" , "to be tall" , "Yearn (for)" , "extended period" , "Really want" .)