If you go to your WordPress blog’s login page in the Google Chrome browser, type your username and password, and get kicked back to the login screen without an error message, try opening a new tab and logging in from that tab. Seemed to work for me. I also cleared my cache but that did not seem to have an impact. The new tab fixed the problem for me.
Chrome is still a bit tricky with login and rendering WordPress sites, i often need to reload the page. Also in post admin or any admin mode Chrome dosen’t allow modules to be moved around.