I've got lots of questions:

Where do you live?
Does your area have lots of water or are you fighting a drought?
How much sun and shade does the fence get?
How long is the fence?
How wide on either side of the fence can the vine get?

Hi,

I'm in the San Diego, CA area.
I try to water everyday as it gets really hot.
Sun all day, stronger in the afternoon
30' fence
Standard chicken wire fence, lots of climbing space, can spread out 10' on each side.
Thank you!
Konni

I'd look at passionflower (Passiflora sp.) or star jasmine, Trachelospermum jasminoides. Both are evergreen and rather dense vines (star jasmine sometimes trimmed as shrubby hedge or even groundcover) and should provide good cover.

For a 30' hedge, I would pick one or the other but plant them in multiples for the fastest coverage. Vines always want to grow up but if you start early, you can train them to spread sideways as well as vertically.

thank you!