The fact that the neighbors are whining about birds chirping and not about bamboo growing through retaining walls, foundations or driveways indicates this is not the noxious variety here.
If the neighborhood nazis can make her cut down 30 year old bamboo due to birds chirping or other such trivial reasons, then they can make you cut down a prize oak tree because it is casting shade or dropping leaves in a neighboring yard.
Even a “clumping” variety that age will have become a nuisance. There is such a “clump” down by the lake. Its making the wildlife management folks crazy as they can’t poison it and cutting it down neither intimidates or slows it for very long. Its no where nearly as noxious as the running variety, but still a pest. There are fresh shoots growing where they mowed it this spring - its nearly as dense as it was before the mowing.
No alien plant life or insect life is safely let loose in an environment where there are no natural controls.
I can’t imagine why one would complain over birds chirping either (I go to considerable effort to make sure they hang out around my house and chirp), but do not discount the fact that the bamboo could be a real hazard. As to the clanking against buildings....how long would you put up with a tree limb clanking against a window or the roof?
I was delighted when my neighbor first planted the bamboo - I’ve always loved how it looked. Living with it was an entirely different thing.
As a PS, the couple who bought my house joined by the neighbors on either side, sued over the bamboo and the court forced him to destroy it. At that point it had destroyed fences on three sides of his property as well as the fruit orchard and countless landscape plants. They had to take him back to court repeatedly, because the bamboo was so hard to eradicate.