Where the first two seasons were very episodic, as this show begins to wrap up, events from earlier episodes are actually referenced and have an effect on later episodes. In one, Grandma-Ma gets replaced by an escaped convict doppelganger named Agnes Delrooney, an event that will be referenced several times (especially since it's unclear if the real Agnes was recaptured or not). Ajax gets a girlfriend who turns out to be King Chicken's daughter, so the gang ends up meeting Chicken's wife (much to Bernice's chagrin). In that same episode, Duckman and King Chicken actually put aside their differences for a while, but when Chicken and Bernice's affair gets revealed and Chicken's wife, Honey Chicken, starts coming onto Duckman, the friendship is off (again).
But the real twist in the series starts off when Bernice becomes a singing sensation, but ends up going to Congress when that falls through (in the typical convoluted nature that is Duckman). But don't worry; Ajax, Charles and Mandingo (I mean Mombo) aren't left under the care of Duckman for very long. It seems Beatrice (Duckman's dead wife) and Bernice weren't just twins, but actually triplets. Bev, their long-lost sister, was raised in an orphanage, but has finally found her family. She quickly moves into the house and is accepted by all. She's even a lot more accepting since she doesn't seem to get nearly as disgusted at Duckman as Bernice did.
Don't worry though, not everything is story-arc. There are still plenty of one-off adventures that have the standard Duckman feel. In one episode, a rip in Time-Space causes Duckman to be visited by versions of himself from the future. With each choice he makes, a future Duckman appears, but each interaction causes his choices to change and different versions to appear yet again. In another episode, Bernice decides she wants a kid so she opts to get artificially inseminated. Imagine both she and Duckman's surprise when it might be Duckman's kid.
In another episode, the country will be torn between men and women in a great civil war. There is even an episode where Cornfed drinks something that makes him dumb ... naturally, he and Ajax become close friends at this time.
While I really do enjoy Duckman a lot, the show is very dated. Besides references to politicians and musicians prominent in the mid 1990's, mentions of the V-Chip and other "current" events are found throughout the series. But even with some outdated jokes, the show is still good, solid humor that is most definitely not for kids. In fact, I'm pretty sure it was during the show's third season when USA was forced to push the show to a later time slot to appease parents because of its adult nature.