Definitions of cony:

• noun:   any of various burrowing animals of the family Leporidae having long ears and short tails; some domesticated and raised for pets or food
• noun:   any of several small ungulate mammals of Africa and Asia with rodent-like incisors and feet with hooflike toes
• noun:   small short-eared burrowing mammal of rocky uplands of Asia and western North America