Personally, I don't know of any reported outages, however this forum is not the best place to get that type of information. If you are having continued problems with your site or subscription, the Support team is really the fastest way to get information on your service.
Here's a Q&A to explain more:
Q. I am having a problem with my Office Live subscription. Can you help me troubleshoot this problem?
A. The fastest way to get support with your subscription is to contact the Office Live support team. They have tools that allow them to see the properties of your subscription and determine if something is wrong with it. So, if you are having problems seeing your website, getting your email, billing, etc. etc. please work with support.