If you want to get away from LEO situations... how about an elderly parent with Alzheimer's or another form of dementia who becomes combative? I know someone who had to restrain his father for several hours... I don't know all the details, so I don't know if it was continuous or intermittent -- but it went on for hours.
Or how about running far enough to be safe? Or having the misfortune to be stuck in a crowd?
While ideally a real fight is over in a few seconds -- reality has a way of tending not to be ideal and not to follow the script.
Yup, this is where my head was going.
