cppop is deprecated, and would only be used if your server is still using mbox, which it should not be. Make sure it is running Maildir by using /scripts/conver2maildir:
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Mail Directory (maildir) Conversion System
NOTE: For users using POP accounts, converted messages will appear as new and will download twice. Users should re-download their messages after the conversion completes.
maildir is enabled
1) Restore system to mbox (non-maildir) state.
2) Convert partially converted mail accounts
3) Attempt to finish a failed conversion
If you see "maildir is enabled", then your server should be using Courier-IMAP or Dovecot, not cppop. In the WebHost Manager, check Main >> Service Configuration >> Mailserver Selection and make sure that either Dovecot or Courier-IMAP is selected.
If your server is by chance still using mbox, you should use /scripts/convert2maildir to convert it to Maildir as soon as possible. mbox support on cPanel has been deprecated for quite some time now and none of our recent revisions to the product take mbox into consideration.
Once you are sure that your server is using Maildir, not mbox, and that either Courier-IMAP or Dovecot is handling POP and IMAP connections, you can remove monitoring for cppop by removing it from the chkservd configuration: