The market is beeng turned into a a food court with a number of cafes, mini-taverns and takeaways. The market section with tradional vegetables, fruit and meat aocupies the center of the hall, while the cafees are on the perimeter.
While visiting, one should pay attention to numerous stalls offering local craft cheeses from small creameris.
But I suggest you visit Odjahuri cafe and takeaway. It's a 100% georgian food at its best: hinkaly, hachapuri, chebureki, lavash (flapjack) are really delicious. One can either order takeaway or enjoy it hot in the cafee. It's real fun. In summer they have an otdoor terrace, in winter there are several tables inside.
On weekends they offer grilled lamb or grilled veal cooked on open fire and georgian house wines and chacha (georgian hooch).
Strongly recommended for those who prefer authentic traditional foods.