If you like quick stuff like that, check out Passaguai. It's on the other side of the river on Borgo San Frediano. Cool neighborhood, a little slower, and comparatively fewer tourists, than the other side of the river closer to the Duomo. Also nearby is Il Santo Bevitore. If you're on that side of town and want to walk a little more Enoteca Le Barrique is close. La Casalinga is a little further (but east, so a good detour before you turn north to cross the river again) - that is one of my favorite restaurants in Florence (but order things written in CAPS on the menu, those are specials).

Here's a map link:

https://goo.gl/maps/hLf3S9T1Rs92