If you and that other person are not of the same generation, counting generations from your common ancestor, your cousin relationship involves a removal.
If you are separated from your cousin by one generation (counting from that common ancestor), then you are "once removed." If your separation is two generations, then you are "twice removed."
For example, You and your First Cousin share a grandparent as a common ancestor. You and your Second Cousin share a great grandparent as a common ancestor.