New Bangle.js 2 menu system

I would add a small icon to make clear that there is a submenu

Yes, that sounds like a great idea.

To avoid overlapping of strings what if we put the menu name in top left and its value in bottom right?

It's a thought... but then you have smaller fonts even when you don't have an overlap? Wrapping the right-hand side if it goes over halfway across the page could be a good start