To a pet, possibly, it has cosy associations (6)
I believe the answer is:
teapot
'it has cosy associations' is the definition.
The definition suggests a singular noun which matches the answer.
'to a pet possibly' is the wordplay.
'possibly' indicates an anagram.
'to'+'a'+'pet'='toapet'
'toapet' with letters rearranged gives 'TEAPOT'.
Can you help me to learn more?
(Other definitions for teapot that I've seen before include "Tao pet (anag)" , "Kitchen vessel with handle, lid and spout" , "Spouted vessel" , "Spouted holder" , "What mother perhaps holds" .)