1.1 Change root user

Bash

su -
## OR ##
sudo -i

1.2 Download Skype 8.11

Bash

cd /tmp

## Skype 8.11 for Fedora/CentOS/RHEL/SL ##
wget --trust-server-names https://go.skype.com/skypeforlinux-64.rpm

1.3 Install Skype 8.11

Bash

## Fedora 27/26/25/24 ##
dnf install /tmp/skypeforlinux-64.rpm

## CentOS/RHEL/SL 7.4 ##
yum localinstall /tmp/skypeforlinux-64.rpm

2. Use Skype

2.1 Start Skype

From command line use skype command (as normal user!)
Bash

skypeforlinux
From Desktop menu on Fedora 26 Gnome 3.24 Skype Launcher
Skype Beta Launcher on Fedora 26

2.2 Login Skype

Skype Beta Login on Fedora 26

Fedora 26 Skype Beta 5.3 Login

2.3 Skype Beta running on CentOS 7.3

Skype Beta 5.3 Running on CentOS 7