Possible Clues:

• Ignoring poll, shouted about celebrity with a glossy exterior
• Celebrity in magazine with diamonds like teeth?
• Given a hard glossy coating
• Screamed head off about tag and put a coat on
• Given glossy coat, tailless llama needed to be replaced
• Tag, twice left in river, retrieved -- property of a canine?
• Glossed over leaderless set landing title
• With a shiny topcoat
• How hair starts to turn up and look all polished up
• Glossy magazine taken by woman doctor?