As a CentOS user myself, updating is easy, -and largely automated- but still be sure to check, cause the impact is great for this one!
yum update glibc
Today I got these :
Updating: glibc 2.17-106.el7_2.4 Updating for dependencies: glibc-common 2.17-106.el7_2.4 glibc-devel 2.17-106.el7_2.4 glibc-headers 2.17-106.el7_2.4
if you get older you could force an update of the repo’s :
yum clean all yum update glibc
Now if you done this, you should restart all services that are facing network, as that is the attack vector. In short :
service sshd restart service httpd restart service nginx restart service iptables restart service postfix restart ...
reboot -h now
SystemD has alternative :
Stay updated & stay safe!