No, the application is not compatible with Windows 10. Although it installs just fine and the executable files can be launched properly, it will give you an error after you double click the main exe file. It says that the program didn't run in the allocated time frame and it continues to repeat that message then it stops. I've tried the compatibility mode as well, but it was impossible to actually succeed.
There are plenty alternatives you can use instead of TClockEx: http://software.informer.com/search/clock