Possible Clues:

• Regularly nibble and kiss horny mountaineer
• Wild goat with double curved horns
• Animal that is getting cross -- head of beast must be held
• Animal from heart of Tibet getting cross
• Type of mountain goat
• Stare at 'Posh chap' said to be mountain climber?
• Animal from island west of Bute extremely cross
• Himalayan region uncovered by mountain dweller
• Goat variety
• Goat with curvy horns