Like a cold nose in New York after a jog (5)
I believe the answer is:
runny
'like a cold nose' is the definition.
I can't tell whether this defines the answer.
'new york after a jog' is the wordplay.
'new york' becomes 'ny'.
'after' is a charade indicator (letters next to each other).
'a jog' becomes 'run' (I've seen this before).
'ny' after 'run' is 'RUNNY'.
'in' is the link.
Can you help me to learn more?
(Other definitions for runny that I've seen before include "Molten" , "Inclined to liquefy, watery" , "Inclined to be rather liquid" , "Not viscous" , "Not set, inclined to spread" .)