Cutting is read as separation — ending a tie, trimming what is too much, making a clean decision. If the dream brings up thoughts of hurting yourself and they are with you when awake too, please talk to someone you trust or call a local helpline.
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.