I just upgraded to the new version, and it's working great! I'm not rooted, running stock 2.1
Same here. A couple of points for those reading this thread.
() Unless you are already signed up for the existing beta program on the Swype website, you cannot get the new version of the beta. (7625). They did not re-open the beta program for this update. It is available only to those who already are in the program.
() If you are eligible, be sure to follow the directions in your email to a "T." Uninstall BOTH your existing version of Swype AND the Swype Installer app. The latter can be uninstalled only by Filter:All in ManageApps.
() Cannot speak to problems anyone is having with a custom ROM. I'd think, however, that if you were running a legal version of the Swype beta before, you should be able to download the new version.
() Cannot speak to anyone running Froyo 2.2. That might be problematic.
Edit: Someone else has reported that the new version of Swype works fine on Froyo (2.2)