Name is French for snug retreat (4)
I believe the answer is:
nest
'snug retreat' is the definition.
(I've seen this before)
'name is french' is the wordplay.
'name' becomes 'n' (common abbreviation e.g. on forms).
'is french' becomes 'est' ('is' in French).
'n'+'est'='NEST'
'for' is the link.
(Other definitions for nest that I've seen before include "Cosy place" , "Bird's house" , "Sent to avian home" , "Roost" , "Structure to lay eggs" .)