Handlebars are read as balance and direct control over where you go. Gripping them tightly is linked to holding on through uncertainty; letting go, to trust or to a risky kind of freedom.
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.