There are several signs that indicate gutter damage. These include water overflow during rain, sagging or pulling away from the roofline, rust or corrosion, cracks or holes, and water pooling around the foundation. Additionally, if you notice water damage or stains on your exterior walls, it could be a sign that your gutters are not effectively directing water away from your home. If you observe any of these signs, it's recommended to have a professional inspect and repair your roof gutters promptly.