yum install logwatch
on 7.3, seems to be installed and working fine, runs daily, try
/etc/cron.daily/0logwatch
for a test, results sent to admin email.
It installs fine,but it doesn't send any mail if i run the /etc/cron.daily/0logwatch.
Did you setup anything after install?
My testserver is a VMware and i have had some problems with mails in that setup earlier. Maybe thats why....