More to explore:
Loom Knit - Cup/Mug Cozie pattern by Christina Fasoula via Ravelry.
Free Loom Pattern: Cozy Loom-Knit Afghan
Cozy Bear hooded Cowl Loom Knit pattern
Loom Knit Cup Cozy
Free Loom Knitting Patterns This is more an index of where to find them. But it does have a free pattern for the Accordion Jar Cozy. from LoveToKnow.com
Use your sock loom to weave some Christmas cheer everything from festive stockings to cute vase cozies.
Loom Knit Mug Cozy! Get Patriotic! Free Pattern for this Patriotic Loom Knit Mug Cozy by This Moment is Good.
Coffee_cup_cozies_small2 Tara Boehne I found your next project!!
Expand Your Crafting Repertoire with the Martha Stewart Crafts™ Knit & Weave Loom Kit!
Loom Knit MUG COZY, free pattern from This Moment is Good! Great Teacher or Hostess Gift!
Crochet...this looks like it was knitted, but I could so make something similar! Ideas abound!!!
Cute and easy mug cozie made with Martha Stewart crafts knitting looms!
loom knitted scarf