Maybe a simple block like a 9-patch mug rug or other simple bock (check out Quilt Blocks Galore at Quilterscache.com) one where you sandwich the three layers then bind it..or, one where you put right sides together, sew around all sides leaving room to turn it right sides out. Then sew around the outside after turning.
Whatever you chose, maybe think of making a sample to show what that person would be making. I love mug rugs..my friend made one for me, and every morning when I put my cuppa on it, I think of her!