Complete compatibilty with CloudFlare CDN Network
I'd like to see the Joomla! project liaise with CloudFlare to ensure that Joomla! and CloudFlare are completely compatible.
At present, there are issues in both the Joomla! v2.5.x and v3.3.x series where when an account is on CloudFlare, certain Admin buttons (like [Save], [Save & Close] etc.) in some core components just don't work :-(
Are you using the CloudFlare Joomla Plugin? Does your host run apache? if yes, do they support cloudflare with mod_cloudflare for Apache httpd? or the IIS module if you are on IIS? (note: If your web server is already running the mod_cloudflare extension, the CloudFlare Joomla Plugin is not required.)
Since CloudFlare created and maintains a "CloudFlare Joomla Plugin" I would suggest contacting them in regards to the issues you are experiencing.