I actually stayed in both apartments on the property in order to stay there the whole length of my time on the island. The place consists of two houses, one with the guest apartments and the other, a few steps up the hill, belonging to the proprietor's lovely family. Complete privacy while wanting for nothing.
I arrived on a late boat - at 3 am, to find Marco (the owner) still waiting for me at the port. Very nice, and above and beyond, considering there are taxis there. He knows the island well, is liked by the locals (important in the tiny islands!) and clearly has a wonderful sense for design (he built the houses in 2010).
This was not my first visit to Amorgos, so I'd seen the property on my way up to Lagada town before - and thought they looked very nice. Beautiful view of the valley, near the best towns (Agiali, Tholaria and Lagada) with open patios to the sunset. It was a no-brainer to book a stay there.