A demo of ClockPick working with APEX can be found here.
How to do it?
1- Upload files to your APEX server. You can upload them directly to the server filesystem or use static files in Shared Components;
3- Include reference to the JQuery library file (again in page template or page header):
4- Now the script to make it all happen. Note that this function is binding P9_TIME text element. You can reference the many items you want. You can also change the hour range to be displayed and execute a function after the selection is done. Read ClockPick website to get detailed information about all the configurations available.