We have created a plugin for abrt tool to automatically upload core dumps in case MySQL Governor crashes.
To install the plugin:
$ yum install cl-abrt-plugin --enablerepo=cloudlinux-updates-testing
It will monitor crash reports for /usr/sbin/db_governor, /usr/sbin/dbtop and /usr/sbin/dbctl
You can modify /etc/libreport/plugins/dropbox.conf to monitor other software as well by adding them to AppList.