A bandage in a dream represents healing. You may dream of being bandaged or of wearing a bandage after you have been emotionally wounded in real life. This signifies that the healing process has begun for you.
A dream that a bandage is being taken off you means that you have completed the healing process and you can move on to a new stage in your life.
If you dream that you are putting a bandage on somebody else, you could be worried about their emotional health. However, the other person in the dream may represent a part of you, so the dream is about the need for you to use your own strength to heal yourself.
A dream that you see a doctor or a nurse putting a bandage on a patient means that a mistake needs to be rectified.