Possible Clues:

• Dalai Lama, for one
• Asian I expect is put in the shade
• Like Lhasa apsos
• Letter from Greece put in container for Asian
• Native to Lhasa
• Be grabbed by giant in mountainous country
• Mountain-dweller Greek character can go round
• A bitten bit bitten off by China
• Language from which comes ''lama''
• Nationality of the Dalai Lama