when I fist opened the post - thought for sure it was going to be Morrow's honeysuckle:
http://www.duke.edu/~cwcook/trees/lomo.html
http://www.threatsummary.forestthrea...m?threatID=157
we have tons & tons of it. Its likely you have it too - though your picture does look more like Autumn Olive (we don' t have that on our property).
Deer and most other animals do not eat Morrow's Honeysuckle. it makes good rabbit cover, but even rabbits won't eat the bark.
FH