We stayed at the Villa Mathilde, upstairs part of a larger house. Incredible view with a ridiculously large, private 360 terrace plus roof and day long sun access. Fantastically equipped kitchen for cooking, which we made sure to make use of with the incredible fresh produce available on the island. The kitchen cabinets, however, smelled quite mouldy.
There was no WIFI, which would have been nice for our long stay.
Make sure you determine whether air conditioning is included in the price, to avoid surprise costs.
Claudio and his brother Paolo are very professional, attentive and enthusiastic hosts who never missed a beat. They picked us up and dropped us off at the ferry - a 10-15 minute car ride up a mountain - very kind gesture. Paolo also recommended La Terrazza cafe across the ferry, with surprisingly excellent and cheap breakfast, where we ate daily.
We didn’t rent a car/scooter, and were limited to a 3x daily bus (this area is considered the “rural part” of the island) and walking, which was very difficult under the sun outside of morning and evening hours. The beaches are pretty rocky, water shoes (and foam mats if you have them) are advised.