The main tourist attraction in Chagrin Falls is the Popcorn Shop. Originally built as a retail showcase for a flourmill on the falls, the Popcorn Shop began selling ice cream and treats in the 40s. Stepping inside the building, it doesn't feel like much time has passed since then.
The Popcorn Shop experienced some drama in 2001 when a van lost control of the brakes coming down the hill and slammed into the building, nearly pushing it into the river.
While you're in the area, you should eat at Rain Tree restaurant. It's a favorite.