If you've noticed that your live timeshifting in EyeTV is grayed out and it's saying "freeze frame" instead of pause when you pause the live TV feed, maybe this will help. I was having the same problem earlier today, and the problem was that I apparently accidentally disabled timeshifting in the device preferences. See this help article
to see a picture of where the setting is located.
Hopefully that helps if your timeshifting appears to be broken / no longer working / grayed out / otherwise disabled.