The quality or state of being barbed; the condition of having barbs or sharp projections.
From 'barbed' (adjective) + '-ness' noun suffix. 'Barbed' comes from 'barb' (a sharp projection), which derives from Latin 'barba' (beard), because barbs were thought to resemble beard bristles standing out from a surface.
The word 'barbedness' is rarely used, but it perfectly captures something important: it's the whole reason barbed wire revolutionized ranching—the specific quality of having multiple sharp points made cattle control possible where smooth wire fences would have failed!
Complete word intelligence in one call. Free tier — 50 lookups/day.