Are you asking for your neighbor who wants to now cover it? Or are you planning to cover it from your side with plants?
Woodier type vines can grow large enough to pull a fence down in some areas, not to mention keeping moisture on the fence. Before considering anything, read up on issues with woody and perennial plants, here's a few condensed warnings:
https://www.fenceauthority.com...
https://barnardfencing.co.uk/w...
If it were my fence, especially a newly paid for fence and I had to use vines, I'd go with keeping the plants off it by creating a type of trellis a foot or 2 in front of it and stick to annual vines like morning glories. Even then be warned that if you ever want to change that, you'll be pulling up morning glories probably for the rest of your life from that area, the seeds last forever.
I'd much prefer to plant perennial shrubs or evergreens that will fit the space if the goal is to hide the fence. Yes it will probably take longer, but is the least destructive to the fence.
