A bowler hat is read as order, respectability and a measured, proper manner. Tradition also finds a quiet humour in it, as in silent films where dignity keeps slipping.
When this appeared in your dream, what were you feeling?
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.