In addition to offering the ability to do synchronizations, CCC 2.0 offers you scheduled tasks! To use this feature, prepare CCC as if you were going to do the actual task immediately, then click on the padlock in the main window to authenticate. Be sure to set the preferences the way that you want them, remove items from the list of items to be copied if you should desire that, etc.
Once you are finished with these settings, click on the Scheduler button. In the Scheduler window, choose the time that you want the task to occur (and reoccur), then click on the "+" button. CCC will generate a shell script and save it in /etc in the form of "ccc.asdfgh.txt". You will be prompted to provide a name for the task, then CCC will modify the system crontab to run the generated script at the time you specified.
The task will then appear in the tasks table. If you click on a task, you can remove it by clicking on the "-" button, or view the generated shell script by clicking on the "Details" button. You can run it immediately by clicking on the "Run" button. Note that the script is owned by the root user, so if you want to customize that script you will need to edit it from the command line or log in as root.
Finally, version 2.1.6 introduced better task log access features. When a CCC task runs in the background, it creates a log file at /var/log/cccron.log. If you would like this log to pop up when the task has completed, check the appropriate box in the Scheduler window (the log will only pop up if a user is logged in). This file can also be accessed by clicking on the "Open task log now" button. You can delete the task log by clicking on the "Delete task log" button.