I just quit trying bc I had to first install the BSM something or other and it kept crashing during the install process.I too have the same problem. Sent them an email, I'm sure they are aware. Just have to wait I suppose for a new release.
edit: Just realised that it does work. Sorta.
It's fine with MSN and AIM on my home wifi connection. Yet it does crash when trying to use my work's wifi connection when I try to log on, even though I can use safari and use the iTunes store.
So it seems to be a network problem at the moment. Hopefully a new version of Apollo can get around it. Unfortunately, I can't root around on my Work's wifi and find out what's affecting Meebo.