Deer are a major hindrance to cedar regeneration. I've seen several study plots where old clearcuts had half the acreage enclosed by a solar powered electric fence. They are showed the same thing but one was especially vivid. Inside the fence the young cedar was as thick as a cornfield. Outside, it was heavily browsed, almost to the ground, the the maple and gum saplings, which are less desirable to deer, where starting to dominate.
As far as selective cutting goes, the practice is not conducive to cedar regeneration either. White Cedar, being an early succession species, needs an open seedbed. Clear-cutting is the only responsible way to harvest it. The term has developed a bad name, due to sometimes being doing incorrectly, but it is the best way to both log cedar and produce a new crop for the future.