I love using the blue painters tape for quilting, and for when I baste. It sticks well, but doesn't seem to leave any sticky residue. I quilt along the edge of the tape, then remove it, and re-position it. The same tape can be used many times before replacing with a new strip.
For quilting simple shapes, I have cut the shapes out of contact paper, quilt around, and again, re-use.
If you happen to sew into it, you can get it out, maybe using tweezers if you need to. Depending on how far you sewed into it, it may not be re-usable.