Clip on an angle? I clip mine straight but maybe that's why they don't easily rag?? But they do shed prolifically!
I just finished a generous throw and used only 2 layers of flannel with 4 1/2" blocks, then used 1/2" seams. I did not use anything between because of weight and did not put an x through the blocks. I have used homespun in the past and also did something similar to Cathedral Window using denim and a rag edge for the circle.