We've tried Amuse for a few dinners and also their brunch. I can see the appeal with Amuse for a drink and maybe some light appetizers to share. We did this once and tried a couple of their drinks that were a nice touch to the summer heat.
For me though, I like my balsamic in moderation or on the light side. We've tried flat breads to main entrees and seem to keep coming across a heavy hand with the balsamic where it drowns out the rest of the food for me.
With brunch, my husband ordered a sandwich and there was not much flavor with the bread being stale and more balsamic. I would say there is a missed opportunity here for fresh bread or even partnering with a local bakery for fresh bread.
I think there is a great potential with the drinks and the atmosphere of the square. Worth a try if in Medina as it might be more to your liking. We'll be back in another 6 months or so to see how the restaurant is evolving.