Long Island artist has night working outside in drizzle (5,4)
I believe the answer is:
light rain
'drizzle' is the definition.
I know nothing about this answer so I cannot tell whether this works.
'long island artist has night working outside' is the wordplay.
'long island' becomes 'LI' (abbreviation).
'artist has' becomes 'ra' (I can't justify this - if you can you should give a lot more credence to this answer).
'working' indicates an anagram.
'outside' means one lot of letters goes inside another.
'night' is an anagram of 'ghtin'.
'ra' placed into 'ghtin' is 'ghtrain'.
'li'+'ghtrain'='LIGHT RAIN'
'in' is the link.
(Another definition for light rain that I've seen is " drizzle?".)