possibility of chatting with Windows Live Messenger clients;
the conversation window has been modified;
support of the secondary input is implemented - the ability to run more than one instance of the program at the same time (implemented by adding the "- secondary" parameter on the command line);
improved video conferencing;
Skype URIs support for Internet pages (website developers can embed a Skype URI into a webpage to support chat and calls directly from a webpage. Skype URIs are now supported by Skype for Linux, so when someone clicks on the Skype contact list on a web page containing names and phone numbers, the URI will automatically launch Skype for Linux and initiate a call to the specified address).
In addition, bugs were fixed and stability was improved.
Links:
Read more about the implementation on the official blog.
Download the latest version. It is noteworthy that for Ubuntu 12.10 only the x86 package is available so far.
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PS
For a successful installation on Ubuntu 12.10, I had to manually remove the old package before installing the new one.
PS2
It seems that the thought that after the purchase of Skype by Microsoft by Microsoft, support for Linux systems will be "reduced to nothing".