Download and install the latest skype rpm ( I installed Skype (Beta) Version 2.2.0.35)

Try it and you get missing libs... libQtDbus and libQtgui and all sorts of missing libs

So run ldd /usr/bin/skype to track down what's missing then go and install the packages

# I'm not sure which packages exactly got my box working but these I installed
yum install libstdc++.i686
yum install dbus-qt3.i686 # nothing happened
yum install dbus-qt3.x86_64
yum install qt-x11.i686 # this worked.

# this is what was missing before I installed the above
[me@mybox ~]$ ldd /usr/bin/skype 
	linux-gate.so.1 =>  (0x007e9000)
	libasound.so.2 => /lib/libasound.so.2 (0x00970000)
	libXv.so.1 => /usr/lib/libXv.so.1 (0x00904000)
	libXss.so.1 => /usr/lib/libXss.so.1 (0x00db3000)
	librt.so.1 => /lib/librt.so.1 (0x4bcbf000)
	libQtDBus.so.4 => not found
	libQtGui.so.4 => not found
	libQtNetwork.so.4 => not found
	libQtCore.so.4 => not found
	libpthread.so.0 => /lib/libpthread.so.0 (0x4bb16000)
	libstdc++.so.6 => /usr/lib/libstdc++.so.6 (0x00c03000)
	libm.so.6 => /lib/libm.so.6 (0x4bccb000)
	libgcc_s.so.1 => /lib/libgcc_s.so.1 (0x4bf59000)
	libc.so.6 => /lib/libc.so.6 (0x4b969000)
	libdl.so.2 => /lib/libdl.so.2 (0x4bb33000)
	libX11.so.6 => /usr/lib/libX11.so.6 (0x4bd64000)
	libXext.so.6 => /usr/lib/libXext.so.6 (0x00360000)
	/lib/ld-linux.so.2 (0x4b944000)
	libxcb.so.1 => /usr/lib/libxcb.so.1 (0x4bf78000)
	libXau.so.6 => /usr/lib/libXau.so.6 (0x4bf54000)

# this is a successful ldd everything is found
[me@mybox ~]$ ldd /usr/bin/skype 
	linux-gate.so.1 =>  (0x003e7000)
	libasound.so.2 => /lib/libasound.so.2 (0x006a5000)
	libXv.so.1 => /usr/lib/libXv.so.1 (0x00cff000)
	libXss.so.1 => /usr/lib/libXss.so.1 (0x0018b000)
	librt.so.1 => /lib/librt.so.1 (0x4bcbf000)
	libQtDBus.so.4 => /usr/lib/libQtDBus.so.4 (0x00410000)
	libQtGui.so.4 => /usr/lib/libQtGui.so.4 (0x00d04000)
	libQtNetwork.so.4 => /usr/lib/libQtNetwork.so.4 (0x0094f000)
	libQtCore.so.4 => /usr/lib/libQtCore.so.4 (0x4313f000)
	libpthread.so.0 => /lib/libpthread.so.0 (0x4bb16000)
	libstdc++.so.6 => /usr/lib/libstdc++.so.6 (0x0018e000)
	libm.so.6 => /lib/libm.so.6 (0x4bccb000)
	libgcc_s.so.1 => /lib/libgcc_s.so.1 (0x4bf59000)
	libc.so.6 => /lib/libc.so.6 (0x4b969000)
	libdl.so.2 => /lib/libdl.so.2 (0x4bb33000)
	libX11.so.6 => /usr/lib/libX11.so.6 (0x4bd64000)
	libXext.so.6 => /usr/lib/libXext.so.6 (0x00110000)
	/lib/ld-linux.so.2 (0x4b944000)
	libQtXml.so.4 => /usr/lib/libQtXml.so.4 (0x00121000)
	libdbus-1.so.3 => /lib/libdbus-1.so.3 (0x00595000)
	libgthread-2.0.so.0 => /lib/libgthread-2.0.so.0 (0x4bb3a000)
	libglib-2.0.so.0 => /lib/libglib-2.0.so.0 (0x4bb42000)
	libpng12.so.0 => /usr/lib/libpng12.so.0 (0x00279000)
	libz.so.1 => /lib/libz.so.1 (0x00162000)
	libfreetype.so.6 => /usr/lib/libfreetype.so.6 (0x4bf98000)
	libgobject-2.0.so.0 => /lib/libgobject-2.0.so.0 (0x4bc6f000)
	libSM.so.6 => /usr/lib/libSM.so.6 (0x00366000)
	libICE.so.6 => /usr/lib/libICE.so.6 (0x00626000)
	libXi.so.6 => /usr/lib/libXi.so.6 (0x00178000)
	libXrender.so.1 => /usr/lib/libXrender.so.1 (0x4bf12000)
	libXrandr.so.2 => /usr/lib/libXrandr.so.2 (0x008e4000)
	libXfixes.so.3 => /usr/lib/libXfixes.so.3 (0x002a3000)
	libXcursor.so.1 => /usr/lib/libXcursor.so.1 (0x002a8000)
	libXinerama.so.1 => /usr/lib/libXinerama.so.1 (0x00188000)
	libfontconfig.so.1 => /usr/lib/libfontconfig.so.1 (0x4bf1e000)
	libssl.so.10 => /usr/lib/libssl.so.10 (0x002b8000)
	libcrypto.so.10 => /lib/libcrypto.so.10 (0x00a91000)
	libxcb.so.1 => /usr/lib/libxcb.so.1 (0x4bf78000)
	libffi.so.5 => /usr/lib/libffi.so.5 (0x4bc66000)
	libuuid.so.1 => /lib/libuuid.so.1 (0x00c5a000)
	libexpat.so.1 => /lib/libexpat.so.1 (0x4bcff000)
	libgssapi_krb5.so.2 => /lib/libgssapi_krb5.so.2 (0x0030e000)
	libkrb5.so.3 => /lib/libkrb5.so.3 (0x0048d000)
	libcom_err.so.2 => /lib/libcom_err.so.2 (0x002b2000)
	libk5crypto.so.3 => /lib/libk5crypto.so.3 (0x0036e000)
	libresolv.so.2 => /lib/libresolv.so.2 (0x00399000)
	libXau.so.6 => /usr/lib/libXau.so.6 (0x4bf54000)
	libkrb5support.so.0 => /lib/libkrb5support.so.0 (0x0034f000)
	libkeyutils.so.1 => /lib/libkeyutils.so.1 (0x0035a000)
	libselinux.so.1 => /lib/libselinux.so.1 (0x003b4000)
.0 (0x4bb42000)
	libpng12.so.0 => /usr/lib/libpng12.so.0 (0x00279000)
	libz.so.1 => /lib/libz.so.1 (0x00162000)
	libfreetype.so.6 => /usr/lib/libfreetype.so.6 (0x4bf98000)
	libgobject-2.0.so.0 => /lib/libgobject-2.0.so.0 (0x4bc6f000)
	libSM.so.6 => /usr/lib/libSM.so.6 (0x00366000)
	libICE.so.6 => /usr/lib/libICE.so.6 (0x00626000)
	libXi.so.6 => /usr/lib/libXi.so.6 (0x00178000)
	libXrender.so.1 => /usr/lib/libXrender.so.1 (0x4bf12000)
	libXrandr.so.2 => /usr/lib/libXrandr.so.2 (0x008e4000)
	libXfixes.so.3 => /usr/lib/libXfixes.so.3 (0x002a3000)
	libXcursor.so.1 => /usr/lib/libXcursor.so.1 (0x002a8000)
	libXinerama.so.1 => /usr/lib/libXinerama.so.1 (0x00188000)
	libfontconfig.so.1 => /usr/lib/libfontconfig.so.1 (0x4bf1e000)
	libssl.so.10 => /usr/lib/libssl.so.10 (0x002b8000)
	libcrypto.so.10 => /lib/libcrypto.so.10 (0x00a91000)
	libxcb.so.1 => /usr/lib/libxcb.so.1 (0x4bf78000)
	libffi.so.5 => /usr/lib/libffi.so.5 (0x4bc66000)
	libuuid.so.1 => /lib/libuuid.so.1 (0x00c5a000)
	libexpat.so.1 => /lib/libexpat.so.1 (0x4bcff000)
	libgssapi_krb5.so.2 => /lib/libgssapi_krb5.so.2 (0x0030e000)
	libkrb5.so.3 => /lib/libkrb5.so.3 (0x0048d000)
	libcom_err.so.2 => /lib/libcom_err.so.2 (0x002b2000)
	libk5crypto.so.3 => /lib/libk5crypto.so.3 (0x0036e000)
	libresolv.so.2 => /lib/libresolv.so.2 (0x00399000)
	libXau.so.6 => /usr/lib/libXau.so.6 (0x4bf54000)
	libkrb5support.so.0 => /lib/libkrb5support.so.0 (0x0034f000)
	libkeyutils.so.1 => /lib/libkeyutils.so.1 (0x0035a000)
	libselinux.so.1 => /lib/libselinux.so.1 (0x003b4000)