Little house with no fridge (5)
I believe the answer is:
igloo
'little house' is the definition.
'igloo' can be an answer for 'house' (I've seen this before). I am not sure about the 'little' bit.
I cannot understand how the rest of the clue works.
Can you help me to learn more?
(Other definitions for igloo that I've seen before include "Ice house for Eskimo" , "White House" , "Inuit abode" , "native dwelling" , "Inuit shelter" .)