To dream that you or someone is dyeing cloths and garments suggests that you are expressing a desire to project a new identity. Depending on the colour of the dye, it could be positive or negative. Look up the colour for further significance.
To dream that you are dyeing your hair indicates that you are trying to project a new persona. If you are dyeing your hair to a darker colour, then it suggests that you want to be more serious. If you are dyeing your hair to a lighter colour, then you are looking to be more livelier.