A dream about the anchor of a ship, tells about you, connection with your source, the base, stability, your strength, safety. You can also think of experiencing a solid foundation in your current life situation or a good start to a new dream or wish. Another explanation is that the inner journey you are currently making is in your life and forms a good basis for new opportunities and possibilities to grow.
It also tells you that you dare to hold on to your own opinion and your own ideas, even though there are people around you who disagree. You may feel like you have gone through a deep trough at first, but you are a persistent person and you don't give up just like that, which ensures success.
The anchor is a reflection of yourself, your past, your present and your future - the roots of your existence; your ancestors, past life and so on. It is that part that you can always return to, that which, as it were, has been labeled as safe and protected throughout your life.