No need to use the console either. Just put bradleyland's suggestion in the address bar prefixed by javascript:
javascript:setInterval(function() { window.scrollTo(0, document.body.scrollTop + 1) }, 30);
javascript:setInterval(function() { window.scrollTo(0, document.body.scrollTop + 1) }, 30);
On Chrome 39 on CrOS, I can't type that into the URL field, and if I copy/paste it, the "javascript:" portion of the scheme magically disappears, so hitting enter takes me to a SERP. I wonder if that's done in the hope that you Google the self-XSS that you were about to run and see someone explain what's going on.