If you wore a hairpiece in a dream, then such dream warns you to be aware of the cheaters. Perhaps there is someone in your life that is willing to take the advantage from you. The dream could also show the opinions which are shown as not yours, but understood as ideas of yours. If you lost the hairpiece in a dream, then it shows the confusion you are at the moment. Perhaps you are losing your mind and do not know how to act in a certain situation.
Dream dictionary: Hairpiece dream meanings
Additionally, read the interpretation about hairpiece.