If you believe that the tree may fall and damage your house, you should act now to remove it.
You are free to trim or remove any part of the tree that extends over your property line.
It may be advisable to approach your neighbor and offer to split the cost of removing the tree.
If this answer was helpful, please mark it as helpful or as a best answer. This answer is for general education purposes only. It neither creates an attorney-client relationship nor provides legal guidance or advice. The answer is based on the limited information provided and the answer might be different had additional information been provided. You should consult an attorney.
You don't need either yet. If the tree is on the line, you should photograph it, and have it removed. Your neighbor should pay half and if necessary you can sue him over it. If the tree falls on your house, file an insurance claim
If you'd like to discuss, please feel free to call. Jeff Gold Gold, Benes, LLP 1854 Bellmore Ave Bellmore, NY 11710 Telephone -516.512.6333 Email - Jgold@goldbenes.com