I have heard back from Accuweather: "Unfortunately, that product is no longer being support by our Digital Media team."
So, for those frustrated by the failure of your weather docklet, I am afraid the answer is tough luck. Accuweather has closed avenues for Stardock's people to fix it, so don't ever expect one from Stardock or from Accuweather. Find something else instead, and good luck to you.
For Firefox users, there is a nice little add-on called Firefoxcast. For other browsers, I don't know.