When your tattoo is wrinkly it means that the ink has sunk below the surface of your skin. This is typically a sign of improper healing following the tattoo procedure. Instead of the skin healing up around the ink, it is pulling the ink down. This can cause the ink to fade and/or distort, creating a wrinkle or crease-like effect. It usually stays that way, but can sometimes heal up overtime. To avoid this, it is important to follow the after-care instructions of your tattoo artist.