I'm not aware that this is possible at the moment - after all, Martin is still working hard on improving Cheetah, and it by no means has the full list of features that he wants.
There's two methods I can suggest, though:
1. Place the plane where you want it, and then use Ring Cut to slice the entire object, as close as you can to where the actual plane is. It might help to offset the plane just a little bit, so that you can actually cut where you need to.
2. For more precision, cut where you need to using Scalpel, keeping as close to the plane as you can.
Both of these tools are explained in detail in the documentation that came with the Cheetah software.
Hope this helps.