Two point hospital works pretty well on my Archlinux system using Mesa 18.2.2,
LLVM 7.0, kernel 4.18.12 with max graphical settings. The only setting that has
an issue is Ambient Occlusion. With that enabled, when you move the camera
around it produces a lot of black spots around the edges of walls and items.
With that setting disabled everything displays fine. 

>From what little search i did, i saw other people reporting this issue on the
steam forums of the game but it is not reported here and i think it is an issue
with Mesa. For the record i am using an R9 380 card and i saw people reporting
the same problem on Polaris cards.