Clipping Objects Instead of Clipping Plane?

Not knowing what end result you have in mind and what tools are available to you, the only way I know of having clipping objects is in KeyShot:

There you can assign the cutaway material to any object and use this to cut the model.
Maybe that helps.

There is also a live linking between KeyShot and Rhino, so if you update your geometry in Rhino it is updated in KeyShot.