Yes it does run on Windows 10, both 64 and 32-bit. The ClipBar works, but may need to be re-enabled after you upgrade. Just right-click on the taskbar and select "Toolbars" then "ClipMate ClipBar 7.5".
Once the ClipBar shows up, it'll just have one icon. Click that, and it'll connect to ClipMate and fetch the rest of the toolbar.