locust trees

Question

Will it kill a locust tree if you cut the top out of them

Answer 1

Tree topping is never a good idea.
This article has more information.
https://www.gardeningknowhow.com/ornamental/trees/tgen/tree-topping-information.htm

Wait until late winter to prune your honeylocust tree. These trees are prone to stem cankers, or lesions, that can cause extensive limb dieback.

https://www.gardeningknowhow.com/ornamental/trees/locust/locust-tree-information.htm