That's why I don't like chain link fences. They're fine until there's something interesting on the other side, lol. Can you plant something to block the view? Not that this will solve the problem, but it would help.
You need to teach your dog not to run the fence, and the best way I can think of is to make your outdoor time quality play time. That way, the games are more important than the dog next door. And if your dog motions for theirs, then an immediate "leave it" (or whatever words you're using) to tell your dog not to bother and the next move towards the dog get an immediate time-out in the crate. It won't take long for your dog to understand that minding her own business gets all the fun in the world, and following the fence gets the opposite.