Welcome from N. Texas! I pieced my first quilt back in December of last year. I had pieces left over from the front of the quilt, and didn't want to have to go out and buy more fabric. I was worried about it looking too messy, or like I was lazy and just slapped fabrics together. It is just squares of various sizes, I did try to balance it out somewhat with placement (rectangles around the edges with bigger blocks in the middle). I really liked it after I completed it and will definitely feel free to piece my backs again. I'll have to see if I can get a picture and add it.
Good luck with finishing your quilt! You'll have to post a picture when you are finished.