Very small driving area close to New York (5)
I believe the answer is:
teeny
'very small' is the definition.
(I've seen this in another clue)
'driving area close to new york' is the wordplay.
'driving area' becomes 'tee' (a golfer drives a golf ball from a tee).
'close to' says to put letters next to each other.
'new york' becomes 'ny'.
'tee'+'ny'='TEENY'
(Other definitions for teeny that I've seen before include "Informally very small" , "Extremely small" , "Microscopic" , "Very small (informal)" , "Minute" .)