For small cuts, and less serious bleeding wounds, common plantain is good. The leaves staunch the wound, and can be wrapped around and held in place like a plaster.
I never leave home without a basic first aid kit. If I'm out for longer than a day, I take a full kit.
Does anyone else secrete items of kit (first aid, nav, and fire...the odd packet of mints et around thier pockets, and pack, in addition to thier main kit? My father, and grandfather always did this, and I've always done the same.
Before critisising another, first walk a mile in thier shoe's...Then if they take exception, your a mile away, and they can't chase you.