I visited there with a good friend when I went to a Punch event at a separate business in Wichita. It's a very well done place with storage humidors for regulars and the outside patio area is something else when the weather is nice. They do a good business and from what I can tell, they draw a lot of young business professionals who like to have a drink and a good cigar after work.
Update for those that haven't been to Mort's lately. Due to Kansas's crazy laws Morts REALLY stepped up and modified it's outside seating area. Yes it's "technically" outdoors, but it does have a roof, walls, heating, and even televisions. I think it qualifies as "outdoors" because the walls and roof are possibly retractable, although I've only ever seen the walls retracted.
Drinks are great and their spicy popcorn is amazing (and free).