Possible Clues:

• Fur needed when getting cold in populous country
• Fur seen in country with cool interior …
• Fur in beard made of ice, did you say?
• Move slowly in cold, finding a fur
• South American rodent with soft, dense fur
• Nip on part of face by a rodent
• Animal cold in Shanghai, say?
• Feature cool American animal
• Furry creature to relax in the country
• South American rodent with highly valued fur