Installing Skype from partner repos worked for me when I just tried it.
sudo apt-get install skype
Reading package lists... Done
Building dependency tree
Reading state information... Done
The following extra packages will be installed:
The following NEW packages will be installed:
0 upgraded, 2 newly installed, 0 to remove and 0 not upgraded.
Need to get 2,234 B/23.6 MB of archives.
After this operation, 29.4 MB of additional disk space will be used.
Do you want to continue [Y/n]? Y
Get:1 http://archive.canonical.com/ubuntu/ precise/partner skype amd64 22.214.171.124-0precise2 [2,234 B]
Fetched 2,234 B in 0s (3,191 B/s)
Selecting previously unselected package skype-bin:i386.
(Reading database ... 317028 files and directories currently installed.)
Unpacking skype-bin:i386 (from .../skype-bin_126.96.36.199-0precise2_i386.deb) ...
Selecting previously unselected package skype.
Unpacking skype (from .../skype_188.8.131.52-0precise2_amd64.deb) ...
Processing triggers for gnome-menus ...
Processing triggers for bamfdaemon ...
Processing triggers for desktop-file-utils ...
Setting up skype-bin:i386 (184.108.40.206-0precise2) ...
Setting up skype (220.127.116.11-0precise2) ...
DISTRIB_DESCRIPTION="Ubuntu precise (development branch)"
Seems to work ok.