Location
We stayed for a week in this very nice Airbnb. The Cave is in a somewhat sleepy village outside the tourist towns. If you want to escape the tourist crowds and experience Santorini together with locals this is the place to be. There are two mini markets that carry everything for daily needs. There are also two excellent restaurants within walking distance, which are absolutely recommended. Since the bus runs little, we recommend a scooter.
The House
The Cave is nicely built and well furnished. It is very quiet and you sleep really well. The kitchen has everything you need, even if it is a little sparsely furnished. The cutlery set is no longer complete, the pan is not the best etc. In general, the house lacks some TLC. There are some things which have been patched up poorly for example the outdoor area once had a canvas over the seating area, now there is a somewhat broken parasol, which does not give quite as much shade as would be needed.
Also a little irritating was that no review mentioned that there is another Cave and outdoor area directly next to the Airbnb. So when both residents were in the pool, it was a bit strange because we were able to look in their hot tub.
Host
Communication with Kostas was smooth and mainly via text. However, we only saw him once in person.
All in all, a super nice Airbnb. We would certainly recommend.