I run Ubuntu 15.10 on a Samsung ATIV 700, which is one of those 2-in-1 PC/Tablet things and it works well.
Drivers for the touch screen worked out of the box. The only drivers that I don't have are for the ambient light sensor and .
The touch screen itself is somewhat useful in the desktop environment. Unity has some multitouch gestures (e.g. for moving windows around) and some apps distinguish between touch and clicks while some do not. For example, in the file browser a touch will scroll while a click and drag will select. Chromium does this too, making for quite a nice browsing experience.
That being said, it doesn't perform well as a tablet, despite Canonical going on about "convergence" for so long. There are a few too many things that are a very difficult or impossible, without a mouse or a right click that it's not really worth removing the dock. The onscreen keyboard is a pain to set up properly (though is fine for actually typing).
It is probably possible to get the phone/tablet "Ubuntu Touch" software on there, but it's far less powerful than the desktop environment.
See this other question for another account.