Flash or Java. Neither of which work on the phone.
You'll have to find some ancient or mobile-friendly site that uses animated GIF's.
And then _please_ post it here, so I can use it too.
I like Weather Underground at i.wund.com or or m.wund.com
However, The Palm will not play the animated GIF radar and satellite maps on this site. It also failed to play several animated GIFs on other sites I've tested. I am going to open a thread on that in Issues.
I'm sure hoping that it's a quick fix. I cut holes in roofs to put air conditioners in and that was a huge surprise.. I could see me switching over to the Blackberry as this is a huge issue for me.. I think you have 30 days.