I had this place written down as somewhere to try and we needed to be in the neighbourhood after dinner so we gave it a shot. Overall impression was mediocre and I doubt I'll be returning.
Arrived at the restaurant on a Friday evening at about 6pm to find myself the only client in the place. It was so deserted I questioned whether it was actually open. The hostess came over and asked if I had a reservation (I didn't) and proceeded to coolly tell me I should've made one due to how busy it will get. Once again I'd like to point out there was not ONE person in the place. Miraculously she managed to fit us in, though I could already tell by that time I would probably never come back. First impressions - restaurant staff should know better.
Our male server was actually quite nice and helpful. We tried some beer cocktails (I learned I do not like beer cocktails..) and shared two items. The variety of cheese pizza wasn't too bad but fairly salty. The other item was a salad and it was fairly bland. By the time we left the restaurant, three more tables were occupied. The massive rush must have arrived after 8pm.
Overall, my District Oven experience included unexceptional food, unnecessary rudeness and, in my mind, an inflated bill for the quality we received. I think I'll find my Middle Eastern fix elsewhere..