To dream of an axe generally indicates that you can defeat your enemies by your own diligence.
If you dream of a sharp axe, or if you are holding an axe yourself, it means that you will be able to defeat your opponents and overcome difficulties with your overall strength; if you dream that someone gives you an axe, it means that you will always be able to get help from your friends in critical situations, and that you will be able to create a strong friendship with them.
If you dream that your axe is gone, it is likely that the obstacles in your way will be removed automatically and you will become more and more successful in your daily life. If you dream that the axe is small and blunt, it is likely that you are lacking in energy and want to make yourself more and more powerful.