I have Fedora 18 (which is very similar to CentOS). I just successfully downloaded and installed skype via rpm. What types of issues are you experiencing?
I downloaded the skype rpm from here --> http://www.skype.com/en/download-skype/skype-for-linux/
. I used a basic rpm installation approach like so: sudo rpm -ivh skype-188.8.131.52-fedora.i586.rpm
Please let me know how far you got along...