Digs in snow and ice? (5)
I believe the answer is:
igloo
'digs in snow' is the definition.
'igloo' can be an answer for 'snow' (thesaurus). I'm unsure of the 'digs in' bit.
I don't understand how the rest of the clue works.
(Other definitions for igloo that I've seen before include "Ice dwelling" , "White House" , "Ice-block construction" , "Home in the far north?" , "native dwelling" .)