No weather to be out, since there's little sunshine around (5)
I believe the answer is:
rainy
'no weather' is the definition.
'rainy' can be an answer for 'weather' (thesaurus). I am unsure of the 'no' bit.
I don't understand the remainder of the clue.
Can you help me to learn more?
(Other definitions for rainy that I've seen before include "Save your money for this damp day" , "(Of weather) wet" , "Drizzly" , "With water falling outside" , "Pluvial" .)