Download the latest Skype rpm from the Skype website, current version is skype beta 2.1.x.
There are some prerequisites which need to be installed for Skype to work on Fedora 14. They are as below :
yum install libXv.i686*
yum install libXScrnSaver.i686*
yum install qt.i686
yum install qt-x11*.i686
Now install the Skype using the package manager, by right clicking on the Skype rpm.
Start Skype from menu option: Applications >> Internet >> Skype.