I highly recommend this place to stay in Santorini. It was the highlight of our trip in Santorini :)
The Cave was just like on the pictures, very special, clean, with detailed style and coziness, we felt very comfortable in it, it was neither too warm or cold. It was just perfect to be away from the crowd of tourists - anyway with ATV you can reach everything in 10-20 Minutes.
The terrace was also amazing with the view to Emporio city and to the sea, we enjoyed our coffee every morning there :)
There is a farm next to the accommodation, from where we received fresh (warm) milk, and goat cheese.
Anna was very friendly and helpful, providing us a lot of hints and tips to the Island, arranging ATV rental, and airport transfer as well. We couldn't have a better host.
If I would go again to Santorini, I will choose this cave again :) I am sure.