Originally Posted by bikerdave
I think I found it. It's monitored by ChkServd
Yep, it is. If you remove it from the config it *should* stop alerting you for it. You'll need to restart chkservd and/or cpanel to make sure the new configuration takes effect.
Did the tailwatchd emails stop after you did the checkperlmodules or are they still coming in?
In terms of why it thinks exim is not running is probably another issue separately. There's also a delay in what WHM shows for the service status, so if Exim was not running at the time it may take some time before it updates after you restarted the service.
Is exim running right now? (`ps aux|grep exim`)