Time dependent clipping

I have an OpenFOAM simulation in which part of my domain rotates. I’m interested in field values within a box-window that is centered on the rotating part of my geometry and rotates with that.

I know the rotation angle by time and maybe via translating my whole domain I can keep the window fixed and extract the values. Yet, I believe it is more expensive, computationally.

Is there a way to really perform a time-dependent clipping? How can I do that?