The gauze rope (the only name I have for it) came with the road rash kit.
Hmmm.. It doesn't make sense to put something like a fingertip-dressing into a road-rash kit. Maybe it's a net-dressing (don't know the name exactly, but in the hospital it's called Bandafix):

It this it? If so, It's used to fixate a gauze pad/dressing,and it could be a useful addition.