You could seek one out as a pet (6)
I believe the answer is:
ferret
'a pet' is the definition.
The answer and definition can be both animals as well as being singular nouns.
Maybe there's an association between them I don't understand?
I don't understand how the remainder of the clue works.
Can you help me to learn more?
(Other definitions for ferret that I've seen before include "Rabbit-hunting polecat" , "Animal used to catch rabbits" , "Domesticated variety of polecat" , "Rummage" , "Root around" .)