Dreaming of axe is both good and bad as per dream interpretation and meaning. Simple meaning of seeing an axe is that there will be good things happening in life but if you are ready to sacrifice certain things in life.
Dreaming of axe cutting down trees or something similar means that you will be able to solve a big problem that has been troubling you for a while. You might have thought the problem was hard to solve but you will soon find an easy solution.
Dream of using axe to open something means that you will be exposed or a secret of yours will be revealed.
Using axe to attack someone or hurt someone means that you will meet with accident. It also means use of weapon by you to protect.
Dream of several axes together or dreaming someone using axe to kill etc means that you will be witness to a crime or accident.