If I had to do an ugly chain link fence. Confederate Jasmine is an evergreen flowering vine, drought tolerant once established. It does not clump at the top, so would be ideal for covering a chain link fence year round.
Covering chain link fence with vines. If you are in Zone 7 and higher, you have a fairly good assortment of evergreen vines which can obscure your fence all year long. Some evergreens to consider: Confederate Jasmine, Sweet Autumn Clematis, and Crossvine.