I personally find the Cloudflare caching service causes a few problems when the site fails over on to it (which is a lot more than you'd expect). This is when I'm at work, so I'm assuming it's down to the way our own aggressive caching service is configured internally.

One other thing I've noticed is that the DNS config for the site could do with a once-over. There are a few minor issues there that could do with correcting.