If you want to allow remote incoming mysql connections you will need to define an INPUT rule that is not isolated to your local interface:
-A INPUT -m state --state NEW -m tcp -p tcp --dport 3306 -j ACCEPT
In Centos this will be defined in the /etc/sysconfig/iptables file. Then restart:
sudo service iptables restart
Alternatively, from the command line, you can use:
sudo system-config-firewall-tui
To configure your firewall, it is in the package of the same name:
sudo yum install system-config-firewall-tui -y