Compression stockings will not remove spider veins or varicose veins, but they can help to prevent the worsening or new development of these vein issues. It is important to note that there are many factors that can affect the development of varicose veins including your genetics. Our previous article How to Get Rid of Spider Veins and Varicose Veins can assist you in understanding how to remove your varicose veins. It may be a good idea for you to wear compression stockings even if you have no intention to remove your varicose and spider veins, consider speaking with a medical doctor for advice based on your unique circumstances.