Yes it is a chess game, you can see part of the board in the middle. I'm not aware of what is Lumps Play and I'll probably add narrative sometime along with Rift support :)
Edit: Just saw Lumps Play is your name. Do you cover narrative games?
Yup!
I'd love to check it out again if you plan on adding more content to it! (I don't do VR but it already supports keyboard/mouse)
Lumps Plays are unique, give 'em a try: www.youtube.com/lumpsplays (it'll make more sense why I didn't make a video without there being more story lol)