This cafe is located near the New Marjanisvhili area, about a block off the main pedestrian area. It's worth finding it, hidden between palatial pre-Soviet homes. Its interior decor is old Tbilisi style, but it is very clean and managed in a modern way, with young staff and local radio playing. They have tons of books and table board games!
The decor is all old Tbilisi - flowery lampshades, wooden furniture, and brocade wallpaper. There is local art on the walls and enough books to keep you occupied all afternoon (also wifi and plenty of outlets)! The food is also great, and the prices are good, especially compared to most of the places on the Marjanishvili pedestrian section. Hot tip: the apple cake is amazing.