I've played a Japanese arcade game called Jubeat, that's made up of... I think a 4x4 grid of small touch screens.

With the right interface and design, it feels fine. In particular, Jubeat has a different note assigned to each screen so the divisions feel very natural.

First hit from YouTube: https://youtu.be/LSGOAkyFW7I

Or maybe just natural to people who put in a bit of practice, lol. This is an expert level song pattern, it's not so bad at earlier levels. But it still shows off how the 4x4 screen effectively communicates a variety of button press timings to the player, combo counters, life, scrolling and other such details for this game.