Pet rabbit husband's neglected (3)
I believe the answer is:
cat
'pet' is the definition.
(cats are often kept as pets)
I cannot understand how the remainder of the clue works.
Can you help me to learn more?
(Other definitions for cat that I've seen before include "Moggy" , "Domestic animal" , "Feline mammel" , "Eg, tiger, lion" , "Feline mammal" .)