I don't think that analogue watches demonstrate the continuous nature of time. They tick. That's discretizing time. Sure you can omit the seconds hand or even make it run smoothly, and some do, but that's not reflective of the nature of the timepiece. You could just as well make a digital clock that fades out the unit seconds digit as the new one fades in. Or show digits until a blurby hundredth of a second, which some do.