Soak a paper towel in a bowl of white vinegar. Vinegar contains acetic acid which breaks down the elements that cause lime scale buildup.
Place the paper towel over the faucet, and then wrap it around completely until no longer loose.
Tie a rubber band around the towel to ensure that it stays in place. Let the vinegar soak into the lime scale for 1 hour, and then wipe clean with a dry, soft cloth.
Combine 1 part water with 3 parts baking soda to form a paste that will break down the lime scale minerals.
Smear the paste over the faucet and allow it to stand for an hour. Wipe the paste off with a damp soft cloth, and then dry the faucet.