I'm probably about to disappoint you. Because I'll bet you read the title of this post and got all excited to learn some tips to make your beadweaving faster and more efficient. But guess what?? Nope.
Instead I felt compelled to tell you all that I'm not a big believer in beadweaving shortcuts. Gasp! I know! It's not like I haven't tried them - I do, all the time. And what I find is that taking two stitches at once in a peyote stitch piece inevitably causes more tangles than usual, and the messes are bigger to out of. Cheating on a herringbone stitch by pulling the thread only once through both the downward and upward strokes pulls your beads out of a pristine, straight alignment, and makes for a sloppier looking project.
You are a beadweaver. You're not in this for speed. Take the slow road, enjoy the process, and your beadwork will thank you by being more beautiful in the end.