You can ensure that the Creeper does not grow back in many ways. You must ensure that the whole root system is out of the soil and disposed of safely. Then, it would be best to cover the area where it grew before with a cardboard piece or by putting a thick layer of organic mulch. One can also use a weed barrier made out of fabric to cover the area. However, the most important tip is always to maintain and monitor the area to stop the Virginia Creeper from growing again.