Lets do it Azure!
O.k being a web based arena Wrap yourself around some of the threads of the arena so you can stay stable and thus cannot be knocked off. Then its time for a good old fashioned Thunder Wave to cripple Buggo and hopefully paralyses it enough so it will fall off the web. Lastly I want you to go with a Fire Blast, aiming it at the area where Buggo is standing to weaken the spider Web threads around it.
Wrap, Thunder Wave and then use Fire Blast