Thanks to Negativo17’s blog I got skype running. Here’s the step by step:

Run all commands as root or through sudo

1. Add the the negativo17 repo of skype

wget http://negativo17.org/repos/fedora-skype.repo -O \ /etc/yum.repos.d/fedora-skype.repo

1. Install skype normally via yum

yum install skype

NB: It considers the sound bug in Fedora 20:

On Fedora 20+, the real Skype binary is used through a wrapper that sets PULSE_LATENCY_MSEC=30 before running the real binary. As of Skype 4.2.0.11 this is required for proper operation.

NB: Always consider the trust implications of 3rd-party repo providers.