When you visit sites that host ads, sometimes you get redirected to other sites where the ads are hosted. The certificates used on those sites are supposed to have all the correct host site names so that they can be used for the current URL.
There is a certificate problem somewhere in Bluekai, that has yet to be resolved, that puts up a certificate that does not list the current URL as a possible user of the certificate being proffered. Your Mac objects, and puts up an error box, essentially, "certificate proffered does not match the URL you entered, it may be an imposter site".
This is not a pop-up. Nor is it a problem on your computer. It is a correct indication that there is a certificate issue somewhere in that chain. Bluekai needs to fix broken their certificates before it will go away.
Because the browsers shipped in 10.9.5 work a little differently, the problem shows up more often in 10.9.5. You can get away from it if you decide to run a later browser in a later MacOS. You are Not required to upgrade.
Eventually Bluekai will either fix this problem or go out of business.