There was a technique mentioned in the Helmet Design video in ZClassroom, but I cannot recreate it, nor find the video, that does what I want, I think.
I have a curved surface and want to slice a circular polygroup into it. Just doing it distorts the circle; in the video the respective area that is to receive the slice was flattened, sliced and unclipped again. However, just clipping gives me no vertices to slice in the now flat area.