There are a number of wild Roses that form thickets only penetrable by rabbits, others will go somewhere else.
I say "wild" but I mean (I think) old Chinese tiny white to pink flowers that have escaped in most places. Five-Finger Aralia, Eleutherococcus siebodiana, does the same thing. I have a 'Vaiegatus' that fills a blind corner of fencing that I would like potential crooks to avoid. It's ten years old and I cut it to the ground every-other year to keep it in bounds.