Is there actually a Linux version ? I ask because the Linux icon is on the store page but the demo is only Windows, there is just a Windows version on Steam and the files you get are just a .zip folder.
Technically the game is a browser game made with Flash. As long as your Linux can play Flash, then the game is playable. As for the demo, I will update it with the browser version, so you can give it a try. Hope it works out for you.