VodBurner can record Skype video in split-screen (side-by-side).
Step By Step Guide
To do this, go to Previous Calls, click on the call, then click Edit.
The post-production console will start. Click “Clear All Transitions”, then select “Both Sides” in the panel on the right-hand side.
Now click the “Finish” tab, and then click “Generate Video File” and follow the prompts.
A video file will be generated that contains a split-screen of the video (side-by-side), together with both sides audio.