Clingstone is a botanical term for fruits that has a hard stone-like seed inside.
Or perhaps, the name is a reference to the way the house clings to the rock.
The house itself, which sits only 20 feet above sea level, survived with minimal damage.
Henry Wood, who is a Boston-based architect, had bought the house in 1961.
It had been lying vacant for two decades after the death of Whartons widow in 1941.
Wood and his sons take pride in their environment-friendly renovations of the house.
The house is totally off the power grid.
Rainwater collected from the roof into a 3,000-gallon cistern provide water for washing and cleaning.
Drinking water comes from a sea-water filtration system.
Water is heated by solar panels.
The house even has a composting toilet.
The compost is then used to fertilize the garden.
Windows, light fixtures and doorknobs were scavenged from old buildings that were torn down.
The long cypress dining room table was retrieved from the bottom of a cistern.
Today, the house has 23 rooms, including 10 bedrooms and five bathrooms.
Visible from the shores, the house is known by locals as “The House on a Rock”.