We just migrated to 2010 on Monday. We're loving it!
When you click on a message to drag it to a folder you initially get the "+" with a shadow box indicating you're ready to drag. Once you move the pointer into the pane with folders the pointer changes to a black circle with a line through it and the message cannot be moved.
Works fine in other browsers (IE, FF, etc.).
Chrome version: 126.96.36.1994 (45376)