C-Cloud stores the backup’s information and settings in the folder: %appdata%\CCloud and if this folder was deleted, C-Cloud will ask you to start a new backup but you can for sure restore from the older backup you have.
To avoid deleting these settings when you uninstall c_Cloud, please make sure that the option Keep C-Cloud Settings (Recommended if you wish to reinstall) is selected.
Now, when you reinstall C-Cloud, it will immediately find the older backup data and will resume the backup automatically.