There was an underground house built on the programme where they follow people building their dream houses. Hosted by that architect / journalist / tv presenter fellow.
I saw another one on tv once with an underground swimming pool with bridges over it and it looked almost like a natural pothole / cave pool that had been added to. It made me want to get an underground house built too. Oh for a lottery win!! I've always wanted to have an underground house since a kid. I am strange though or ahead of my time. I mean imagine the insulation!! It is possibly greener than building above ground.
The one on that home design and build programme was in Cumbria, near Penrith on a hillside IIRC.
There are many cases of cave dwelling lasting up to modern times. Turkey, France, UK (The Millican Dalton guy - professor of the outdoors), etc. They are good solutions to local problems in some cases like the Cooper Pedy ones.