Chrome won't connect me to Facebook – SSL error?

If Windows XP, it's usually that the root store is corrupt [1]. Otherwise it's usually a bad system clock. If nothing else, see chrome://net-internals and you can repo the problem and find the SSL socket under "Events" to see the actual chain and error code.

[1] http://www.microsoft.com/en-us/download/details.aspx?id=3594...