I had the same problem, you must setup a Page Rule in cloudflare.

Example:

Pattern:
http://mysite.com/admincp/*

And as for the Page Rule options, Disable CloudFlare’s caching and optional performance features for that Page Rule.

Also create another Page Rule for "http://mysite.com/modcp/*" and do the same with the Page Rule options as the one above.

Note: If you renamed your AdminCP and/or ModCP folders, you will need to use the correct folders. Also note the "*" (wildcard) at the and of the URL for the Patterns. Them Page Rules will match the entire contents of the directory using the Wildcard. That should stop the AdminCP and ModCP from always refreshing.

I would setup the 2 page rules, so you can still use cloudflare with your site, instead of disabling cloudflare globally.

hi, sorry for bumping that thread BUT... I set up page rules:

Rocket Loader: OFF
Cache Level: Bypass

but still get Admin reloaded :(

Funny thing is that this happens only at ONE of many my projects... All other work perfect without any page rules!

New sure to clear the cache on your site and on cloudflare. I would also bypass everything for admincp but security.