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Peel off as much of the label as you can. Wait 10 to 30 minutes. Wash the jar using soap and water, then pat it dry with a towel.
If the label is stuck firmly to the jar, soak the jar in warm, soapy water for a few minutes, then peel the label off. You will likely have lots of paper and/or glue residue left over, which is fine. During this time, the oil will penetrate any glue residue and dissolve it. It will make it easier to remove later on. If you see any residue, you can wipe it off using a paper towel and a few drops of oil.