Claudio's villa is paradise. He and his brothers have created the perfect Airbnb experience: you feel welcomed as though you are in someone's home, but without feeling like you are in someone else's personal space. You have all the privacy that you want on your own terrazza, but the hosts are around and ready to help.
For more detail: We stayed in Claudio's place for 5 weeks for a combination of remote work and vacation, so we know both the villa and the rest of Lipari quite well. As you can tell from the pictures, the views are stunning and unique around the world. The villa is up on the mountains in Pianoconte, above the main Lipari town, which makes if both cooler and more quiet than town. Pianoconte has a well-equipped supermarket and the best butcher on the island (~10min walk). It also has several good restaurants (incl the agriturismo U Zu Peppino, home cooked local food at Marisa, and pizza and Eolian food at Al Bivio, closed Monday) and a nice coffee bar (Cin Cin). People everywhere on Lipari were very nice and welcoming, much more so than some other parts of Italy (and Europe/elsewhere) that receive a lot of visitors. To get around the rest of the island, Claudio can help with transport (e.g. a cheaper scooter than from Lipari town) or there is a convenient bus that takes about 20 mins (5, 10, or 20 trip cards are cheaper than single rides). There are also 3 beautiful roads/paths to walk down to Lipari town in about 50 mins. We would often walk down and take the bus back up. For longer stays, renting a scooter makes things easier. We spent the first 2 weeks walking about every trail/road on the island, and then rented a scooter for the next 3 weeks.
The apartments are ridiculously clean upon arrival and well equipped for both short and long stays. We planned to eat out more, but ended up cooking (elaborately) most nights to enjoy the luxury of our own terrazza and views. All of this makes this a great place to stay.
What makes it exceptional is Claudio and his two brothers, Paolo and Pipo, who go out of there way to make everyone's stay perfect. This includes both a wealth of information/suggestions, and perhaps help with travel arrangements, but also various additional services they can offer for modest prices. (Some of the less-than-100% positive reviews here comment on services that the brothers were under no obligation to offer in the first place; it was also somewhat disheartening to see some visitors leave without paying for informal extra services, such as rides to different parts of the island or sometimes meals served on your own terrazza).
So enjoy this beautiful place, and appreciate all the hard work that Claudio, Paolo and Pipo put into providing you with this unique experience.