Uncivilised type in New York, before noon disappearing (4)
I believe the answer is:
goth
'uncivilised type' is the definition.
(I've seen this before)
'new york before noon disappearing' is the wordplay.
'new york' becomes 'Gotham' (Gotham is a nickname for New York).
'before noon' becomes 'AM' (as in AM on a clock).
'disappearing' is a deletion indicator.
'gotham' with 'am' taken away is 'GOTH'.
'in' is the link.
(Other definitions for goth that I've seen before include "Uncivilised type" , "One of an ancient Germanic nation" , "One of Alaric's people" , "Rock music style" , "Youngster clad in black" .)