Dreaming of cutting something in your life may manifest as the feeling that something is wrong and needs to change. In comparison to a paper cut, cutting ties or destroying possessions are still very painful and cutting them only relieves temporary pain or remorse.
Please seek professional help if you dream about cutting or attempting to cut yourself. Cutting is often associated with self-harm, which can be a sign of a mental health disorder such as depression or PTSD. To avoid these, the idea of cutting is commonly referred to as a symbol that signifies an unhealthy desire.