I think this is the most beautiful place we have stayed so far.
The terrace is of course the main asset with unbeatable views over the caldera (and you can even see the sunset from one corner), but the interior is just as beautiful! Nicely furnished, spacious (two bedrooms, two bathrooms) and very well equipped (even with dishwasher). Very comfortable beds!
We looked at a few other (much more expensive) accommodations we had previously considered, but many of them lacked privacy as the terraces were right next to the sidewalk, so people were constantly walking by. Kriton's terrace is a few feet above the sidewalk and you only have a few people walking by on the stairs, so you have much more privacy here.
Our host Theodoris provided great service, including someone to help us with our luggage, which was much needed.... Like most places in Imerovigli, you can't reach the place by car.
The location is great, I would definitely recommend Imerovigli after seeing all the caldera villages. Fira was totally crowded even during the day with most tourist stores and therefore no atmosphere. Oia was nicer during the day but gets crazy around sunset and is a bit remote if you want to see more of the island (which is definitely recommended).