The barbershop is traditionally read as grooming the face you show the world, and as a place of easy male company and talk. Sitting in the chair can stand for trusting someone with how you appear.
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.