Solution I've used before (documented in the past entry) with just grabbing 32-bit Skype binary and full set of libs it needs from whatever distro still works and applies here, not-so-surprisingly.
What I ended up doing is:
Grab the latest Fedora "32-bit workstation" iso (Fedora-Live-Workstation-i686-21-5.iso).
Install/run it on a virtual machine (plain qemu-kvm).
Download "Dynamic" Skype version (distro-independent tar.gz with files) from Skype site to/on a VM, "tar -xf" it.
ldd skype-188.8.131.52/skype | grep 'not found' to see which dependency-libs are missing.
Install missing libs - yum install qtwebkit libXScrnSaver
Should finish successfully and produce "skype_env" dir in the current path.
Copy that "skype_env" dir with all the libs back to pure-amd64 system.
Since skype binary has "/lib/ld-linux.so.2" as a hardcoded interpreter (as it should be), and pure-amd64 system shouldn't have one (not to mention missing multiarch prefix) - patch it in the binary with patchelf:
patchelf --set-interpreter ./ld-linux.so.2 skype
Run it (from that env dir with all the libs):
LD_LIBRARY_PATH=. ./skype --resources=.
Should "just work" \o/
Given that skype itself a huge opaque binary, I do have AppArmor profile for the thing (uses "~/.Skype/env/" dir for bin/libs) - home.skype.