Skype for Nokia Belle (version 2.1.23 - 6.9MB) can be downloaded from the Nokia Store. Once you have downloaded and installed the application, you'll need to enter your Skype username and password. Contacts and current IM conversations will be automatically downloaded. You can optionally choose to import names and numbers from the Contacts application, so that you can call these numbers via Skype.
The screenshots here show the updates to the user interface. The selection bar/tabs at the top of the screen give access to the major sections of the app (Contacts, IM, Call, History and Skype Extras). The Belle style toolbar at the bottom of the screen is context sensitive, giving access to the most common commands for the current view.
Here's the description for Skype from the Nokia Store:
With all the benefits of Skype on your phone you can save money and stay in touch when you're on the move.
• Make free Skype-to-Skype calls and IM on 3G or WiFi.
• Save money on calls and texts (SMS) to phones abroad.
• Share pictures, videos and other files from your phone.
It's free to use Skype in a WiFi zone. If you use Skype with a mobile data connection, operator charges may apply, so we recommend an unlimited data plan.
Thanks to Finnish First for the tip.