I have been always using Kite on Linux since i can remember. Fedora Linux that is. But a friend of mine uses Kite regularly on Linux Mint, Ubuntu, and he finds Kite quite smooth, fast and responsive. In both cases Google chrome is the browser in use.
Although in Google chrome by default settings Kite had a high system resource usage but just disabling Hardware Acceleration from chrome://settings/ did the trick and the system resource dramatically reduced to low or very medium level even after opening more than 20 tabs in Kite each with a different stocks/instruments. Thus Kite runs quite smoothly on Linux as of now.