I'd been trying to sew a silk lining into a quilt coat I am making, but really struggling to evenly cut such a slippery fabric. I learned from a friend that you can use spray basting (common for quilting) to attach your fabric onto tissue paper, then cut and sew it that way. At the end, just rip off the tissue paper. You might want to replace your needle afterwards, because paper tends to dull them, but otherwise it's been working like a charm for me.