Hi!
I've downloaded the static version (skype_static-2.1.0.81.tar.bz2) and extracted it. Then I tried to start the Skype executable file (./skype) via the terminal but nothing happens.
root@xxx:~# ls
skype_static-2.1.0.81/ skype_static-2.1.0.81.tar.bz2
root@xxx:~# cd skype_static-2.1.0.81
root@xxx:~/skype_static-2.1.0.81# ls
LICENSE README avatars/ icons/ lang/ skype* skype.conf skype.desktop sounds/
root@xxx:~/skype_static-2.1.0.81# ./skype
bash: ./skype: No such file or directory
If it says that skype is an "ELF 32-bit LSB executable" then you can look here: Multilib Slackware for x86_64 - Alien's Wiki,
to see how to enable your 64-bit Slackware to run 32-bit programs by installing "multilib" versions of system libraries.
I have installed those multilib packages but still had a problem with skype: it's login window appeared, but after the password being entered it crashed with the message (on terminal):
After some googling I have found that something is wrong with pulseaudio shared libraries which skype it trying to load at run time. I don't use PulseAudio anyway (I'm using ALSA), so I just have removed them (there should be no libpulse* shared library files in /usr/lib/ or /usr/lib32/). Now my skype works. (I have the dynamically linked version from the file: skype-ubuntu-intrepid_2.1.0.81-1_amd64.deb. Despite it's name it contains a 32-bit executable as the 'file skype' command shows).