Azure Central was down for hours - will customers be compensated?

I doubt Azure is going to pay you anything, nor would I expect them to. If HA is that critical to you, then you need to set up an HA architecture. I had clients who experienced brief downtime. Uptime was important to them, so I designed high availability into their systems. They barely felt the impact. They are not complaining. One client sent me an $800 tip, and a couple of others sent very nice emails. For those with HA, they are thankful that their investment paid off and kept their business online. Find a cloud architect who can help you build HA into your infrastructure. This was not the first cloud outage, and it most certainly will not be the last. Count on it.

Azure has published SLAs and policies if those SLAs are not met. These policies include service credits rather than direct payments or refunds, but they do have financial backing for not meeting SLAs.