Bear running loose in New York right behind you! (6)
I believe the answer is:
nearby
'right behind you' is the definition.
(something right behind you is nearby)
'bear running loose in new york' is the wordplay.
'running loose' is an anagram indicator (letters loosened from their original positions).
'in' indicates putting letters inside.
'new york' becomes 'ny'.
'bear' is an anagram of 'earb'.
'earb' put into 'ny' is 'NEARBY'.
(Other definitions for nearby that I've seen before include "In close proximity" , "[OPPOSITE OF] miles away" , "Locally" , "in the neighbourhood" , "Adjacent" .)