I see skype-4.3.0.37 depends on libQtWebKit.so.4, which is present in the tc-4.x x86 repo, but not after that.
libQtWebKit.so.4 is present in the tc-7.x x86_64 repo, but as far as I know, there is no 64-bit version of skype for linux.
What version of skype does the getskype extension download (skype is blocked here)?