Well, the whole appearance (and indeed appeal) of QC is the whole "slice of life" aspect. The characters are (mostly) human, they have human interactions (even with the AnthroPCs), and they have human problems (non-frequently caused by AnthroPCs. One AnthroPC mostly, anyway...). Like most human problems, they don't last forever, but like most human problems, another one is probably going to take its place. All of these make up the human condition, and that, to me anyway, is part of QC's appeal.
It's hard to say what will happen next. Will a main character move away? It's happened before
(not exactly "main" but Padma was around for quite a bit). Will a relationship form (I know the "no shipping" rule, but that doesn't apply to Jeph himself now, does it...)? It's happened before
(I was looking through the archives to have one link for each word, but I got lazy and it's getting late here). All in all, for good, bad, and damn uncertain, we'll just have to wait and see.