It tells me that a new update is available so I click "Update". It then displays the downloading box and when 100% is reached this box disappears and that is that nothing else happens.
I had something similar happen to me going from 5.59 -> 5.60. But then I did it again and it worked the second time. Looking at the statistics, it seems like we may have some sort of caching issue in the first 24-48 hours after launch on the CDN that is serving up the one-click updates for Pro users.
Finally fixed ... after trying many times I finally completely uninstalled the (old ver) with RevoUninstall, then reinstalled the old version, and bingo the update worked.