In the beginning a young girl is given a chance to save her family by holding a rope as they are suspended over a pit or cliff.
The (terrible) movie Cyborg (1989)
starring Jean-Claude Van Damme
has a similar scene. It was in a flashback. The bad guys forced a little girl to hold a rope (or was it barbed wire?) which was holding someone up from certain death. I seem to remember her trying to hold it, but it was slipping through her hands and cutting them?
I don't remember exactly who was having the flashback or when during the movie that particular one took place, as there were a lot of them in that movie.