CentOS Errata and Bugfix Advisory 2016:1266 

Upstream details at : https://rhn.redhat.com/errata/RHBA-2016-1266.html

The following updated files have been uploaded and are currently 
syncing to the mirrors: ( sha256sum Filename ) 

i386:
980470351aa45a505738913c6b98e22543d182acb91410d9d23adcd5ce22efa4  tzdata-2016e-1.el5.i386.rpm
f1ab933aec64ab8335388d2dc170670e6842c1828da3d9e6761d6ea4653bb729  tzdata-java-2016e-1.el5.i386.rpm

x86_64:
14eea96779590f3a0a341ac8e144377cc2f5327c6e3df6d2757daf0e6a753123  tzdata-2016e-1.el5.x86_64.rpm
27051668651683bf9255059ca73b75ad2a42dee0b97c38065f073feee90fdd25  tzdata-java-2016e-1.el5.x86_64.rpm

Source:
2be0737a89567aab8fa13639cfd0f98a04e6f2b337d5604e470ca5d44740f557  tzdata-2016e-1.el5.src.rpm