A burn on the skin is read as being hurt by passion, anger or getting too close to something hot. It points to a lesson learned the hard way. Burning your hand is traditionally linked to reaching for something you were warned about, while a burn that heals points to recovery after a painful episode. Burning someone else is read as guilt about harsh words or actions. The dream speaks of emotional heat, not of injury.
Has this come up in your dreams before? What was going on in your life then?
My Cosmic Code has a private dream journal. Write a dream down and the app picks out the symbols in it, shows what dream books say about them and, over time, which words recur across your entries. The journal is stored on your device only.