Smothered chicken is just chicken (not necessarily fried) smothered in gravy.
This post about the potential opening of a Chicago outpost of legendary LA restaurant "Roscoe's Chicken and Waffles" relates some discussion of other Chicago spots for it. Turns out Chicago is getting a "Rosscoe's", not a "Roscoe's".
I haven't had it in Chicago, but I enjoyed a meal at the Hollywood Roscoe's quite a bit. I also used to live with a guy who made killer fried chicken (including smothered) and he served it smothered and with waffles once. In his preparation, the gravy was a welcome to counter the dryness of the waffles without adding syrup. Of course, the sweet and savory combo is part of the delight, and I kind of remember his gravy being a little sweet, or maybe I used a little syrup and then more gravy.
Anyway, if you like fried chicken, I can't see why you'd object to having it with waffles!