All you need is several acres for it to grow in well and there you go..... What? That doesn't sound good?
If you're like me then it sounds really good except that you probably don't have the acreage. Don't let that daunt you though, there are varieties of clumping bamboo that are much more manageable as a screen and don't end up on the other side of the yard, or worse in the middle of the yard.
If that still sounds a little too much, there are many shrubs that would do just as well for a little privacy. If your area is good for it you might consider grapevines The main problem with a live fence is the time it takes for it to grow. Even if you have the acreage, bamboo would take a few years to make a decent fence unless you planted the entire thing. Likewise bushes and shrubs are usually sold in much smaller sizes than you would need to make a good fence. In the mean time you can plant vines, which would work well on a chain link fence, or tall growing flowering plants like sunflowers to fill in where the shrubs haven't yet.
If you have a living wall I would love to see pictures of them!