And it does it again when I try it again.
Facebook login loop using Google Chrome

I have no idea, since I do not use FB to log in. But you might try deleting cookies and cache for both chess.con and FB, and trying again. There are settings for refreshing SSL state as well but that is advanced and I hope that isn't it... you can also file a ticket with chess.Com and see what they say. Good luck ;-)
Hello, I fairly consistently encounter this problem trying to login to chess.com using my Facebook login. Chrome churns away for a bit and then returns an error saying:
"This page has a loop. Too many redirects"
Here's my setup:
Google Chrome 43.0.2357.134 (64-bit)
Mac OS 10.10.4
Can someone assist?