Thanks Chris. If I'm remembering correctly, but could be wrong, on Beech cutting back on a branch and leaving no live buds on that branch the branch will die off completely. I plan on keeping the branches in check. I'll keep it posted.
Beech will back bud, but with difficulty. Plants that are to be cut back should be young and vigorously growing. Try not to remove all of the preformed buds or you may lose the tree. Buds tend to form at branch collars, so overly thick branches can be removed and new, thinner ones started in the same location if you leave a small stub. This method can also be used to grow new branches where older branches have all their foliage at the tips.