Shelter in the street from snow and rain (5)
I believe the answer is:
sleet
'snow and rain' is the definition.
(I've seen this before)
'shelter in the street' is the wordplay.
'shelter' becomes 'lee' (as in lee side, the side sheltered from wind).
'in the' is an insertion indicator.
'street' becomes 'st' (abbreviation).
'lee' inserted into 'st' is 'SLEET'.
'from' acts as a link.
(Other definitions for sleet that I've seen before include "Partly frozen rain" , "Mixed rain and melting snow" , "Partly melted falling 16 across or 18 down" , "Partially frozen rain" , "In foul weather" .)