Batty woman in Alaska gets protection against the cold (6)
I believe the answer is:
anorak
'protection against the cold' is the definition.
I can't judge whether this defines the answer.
'batty woman in alaska' is the wordplay.
'batty woman' becomes 'Nora' (Nora Batty, Last of the Summer Wine character).
'in' is an insertion indicator.
'alaska' becomes 'ak' (I am not sure about this - if you are sure you should believe this answer much more).
'nora' inserted inside 'ak' is 'ANORAK'.
'gets' is the link.
Can you help me to learn more?
(Other definitions for anorak that I've seen before include "Jacket; nerd (colloq.)" , "Garment (worn by boring obsessive?)" , "Jacket for an obsessive?" , "Boringly obsessive person" , "Coat - nerd" .)