To dream of carving something represents your wish to have something exactly the way you want it. It may also reflect efforts to be remembered a certain way.
To dream of a carving statue represents feelings about being noticed for something you have worked hard for. Noticing yourself having made something for yourself. Carefully constructed elaborate thoughts.
To dream of carving meat may reflect total confidence or power in some area of your life. Power or control that is handled exactly the way you want it.
To dream of something into a tree represents you wish to feel that a relationship or situation will be remembered for good.
Example: A woman dreamed of a wood falcon. In waking life she felt good noticing how hard she had worked to treat and stay on top of her cancer.
Example 2: A man dreamed of seeing someone that other people doubted was capable of a sculpture out of a tree. In waking life he felt his friends doubted his ability to make something of himself in the psychology field.