I would recommend just spot cleaning it with a dye-less detergent. We've had some projects that we have been able to put in the washer on the delicate cycle. Another option is to put the item in a pillow case to protect the threads from tangling.
Place finished piece in glass bowl, cover with salt, leave for 3-4 hours. Shake off excess salt, placed piece in the dryer for 15 minutes. Salt removes oil and dirt.