DISCLAIMER: Your Steps and Tasks may be different
Step 1: Retrieve 4 Spraggonal Cloaks by killing 4 spraggoncles. These can be found on a hill northeast of the Spraggon Den loc=10824,8897,6756 near a burnt out house.
Step 2: Return the cloaks to Banba
Step 3: Take a note to Reedi in Aargagh.
Step 4: Choose a dye color and return to Howth with it.
Step 5: Give the dye to Banba and receive the reward - Spinner's Cloak in the color of the dye selected.