Maybe I missed it, but it would helpful to know where you are -- or where you found this. State, county - something more in the way of a clue. In the background of one of the pictures I thought, maybe, I saw some berries?
There are few plants with opposing branches. MADCap Horse. M-Maple, A-Ash, D-Dogwood, Cap-Caprifoliaciae (Probably one of these. Viburnum, and several other shrubs in this group), Horse - Horse chestnut.
Some yes, some probably no. Honeysuckle for example is one. It has some cover value, I suppose, and gets browsed some here, but I despise it. I'm sure some of them are browsed, others not. I would say most have a berry at some point. I'd just watch it, if you have much of a deer population it should be apparent if it is a desired species.
I ordered a bunch of seeds the past winter and started to grow some.
I noticed some new flowers a couple weeks ago. Found out it was Blackhaw. Branching structure is easy to identify. I have a ton of now that I know what it is.
I, too, am believing it's blackhaw. Blackhaw is a member of the viburnum family. I've looked at other viburnum varieties and find several with leaves that look like those in the picture, but there's little consistency. I guess it happens. I look like my brother, but there are noticeable differences. Given the location in northwest Ohio and finding the plant growing wild makes me want to stick with blackhaw. There was another variety that looked suspiciously like the pictures provided, but the description says its a native of China. I guess it wouldn't be any surprise if it, somehow, got from there to here. Look for Henry's viburnum on this page https://www.thespruce.com/twelve-species-of-viburnum-shrubs-3269667