Home in endless New Street (4)
I believe the answer is:
nest
'home' is the definition.
(a bird's home)
'endless new street' is the wordplay.
'endless' means to remove the last letter.
'street' becomes 'st' (abbreviation).
'new' with its last letter taken off is 'ne'.
'ne'+'st'='NEST'
'in' is the link.
(Other definitions for nest that I've seen before include "Eyrie" , "Home to a bird" , "Structure built by birds" , "Make a home (birds)" , "Ingredient of Chinese soup" .)