It might be unfair to say that this place is made by the glorious balcony area and the proximity to the beach, but it is a highlight.
However, I did enjoy the whole experience. The apartment is thoughtfully decorated and has a real sense of being cared for - I have had a few Airbnb's where this has not been the case.
Other reviews have noted the quirks of the apartment, especially the interesting layout in the bathroom and the water pressure issue (using the water pump does address this!).
I think if you were squeezing 4 in here that would be a bit challenging but for a couple or, like me, a solo traveller, it is perfect.
There are plenty of decent restaurants nearby, mostly well priced, and the Bar Italia on the corner is a good place to sit with a glass of wine and watch the world go by.
If you fancy visiting chi-chi Taormina town itself the hike up is quite the climb and not a particularly pleasant one as you are mainly on the road. I think you can get a bus!
I also wandered down to the main Naxos town itself and found a great bar serving good cocktails. I can't recall the name but it is on the main drag and is easy to identify with its very red colour scheme and it plays old time rock 'n' roll!
I would definitely return to this Airbnb!