1. To bully or torment by teasing (6) 2. Said to be wise (7) Is this Solomon?? 3. His name is a chore (6) 4. Official name of the British Royal Family (9) Thought that was Windsor but not with 9 letters! 5. A small peep hole in a door (5) 6. Type of watch chain (6) 7. Bringer of bad luck (5) 8. To dwindle away to nothing 9. Framework or tower over a borehole (7)
3. Horace ? - anag 'a chore'
8. Peter. This is certainly right as it's the 1st definition - word for word - in Chambers. I don't know if Jim Jools thinks the answer to 5 is also Peter. Can you use the same name more than once?