A curling iron shapes with heat, and tradition reads it as effort spent on how you appear. A hot or burning one can point to strain behind keeping up an image.
Does the traditional reading fit your dream, or did it mean something else to you?
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.