First of all, a five-star rating to the (local) architect. There is one enormous main room, with ceiling-high jalousie windows which can be opened or left closed - but with insect screens and not glass. This means you can go indoors during the day and still enjoy the sunlight, the breeze - and the incomparable view. This avoids the usual problem where you are forced to choose between getting sunburned outside or being stuffy indoors. We all found the place both practical and beautiful (not a common combination, by any means).
For our eight-day stay we were hardly bothered by noise (see reviews below). The villa is not in a cloistered hotel compound: inevitably in the course of a week there will be road noise or sounds from people strimming weeds or doing building work, but in our experience this last was only for a few hours of our stay, and was not particularly annoying even then.
The pool was very well maintained (yes, there will be a few floating leaves by the end of each day - but this is the tropics - and I like the leaves). Fabulous gas barbecue and very good pool furniture and shades - though, as a warning to other pallid Brits, you can still get slightly sunburned under these as they only block some of the sunlight.
Indoors there are two super bedrooms with ceiling fans and very comfortable large beds. Well equipped kitchen. Large fridge freezer. Television with Apple TV. Slightly intermittent internet - but mostly works fairly well - and not bad by the standards of the island. Probably could do with a microwave, but no big deal.
Other commenters below are right: do hire a jeep rather than a sedan, and be careful on the concrete road to the villa (engage 4wd and go slowly) especially after rain. The road is perfectly safe but slippery when wet. Best to book a taxi to villa on first day and then get a jeep delivered the next day - I always do this, as I am not in the mood to deal with hire car bureacracy straight after a long flight. Also recommend getting food delivered to villa, or using the superb chef, Basil, as local shops are limited. Enjoyed visits to Boucan and the Mango Tree at Stonefield. Martha's Table is reputedly good, but was being renovated for the week of our stay.
The staff who will meet you and look after you - Jenifer, Ray, Chandler - are truly wonderful. They made what would have been a good stay in a wonderful building even better. I cannot thank them enough.
Would I stay there again? Definite yes.