The weather not to be out, with little sunshine around (5)
I believe the answer is:
rainy
'the weather' is the definition.
(thesaurus)
'to be out with little sunshine around' is the wordplay.
'to be out with' becomes 'in' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'little' means to remove the last letter (the word is not quite complete).
'sunshine' becomes 'rays'.
'around' indicates putting letters inside.
'rays' with its final letter removed is 'ray'.
'in' put into 'ray' is 'RAINY'.
'not' is the link.
Can you help me to learn more?
(Other definitions for rainy that I've seen before include "Pluvial" , "Save your money for a . . . . . day - to buy an umbrella?" , "Drizzly" , "(Of weather) wet" , "The day one saves for" .)