During Rifle Deer Hunting, if slung (for instance during dark walks to/from) it is on the dominant (right side) with barrel up. OWB right side doesn't present a problem as my overcoat essentially makes it somewhat "deep carry". However, when bow hunting, I carry my defense pistol OWB left side so it doesn't obstruct awkward leaning shots with my old school anchor point, no-peep finger shooting.