Yeah, when I was working in factories last year, you could feel the wires when a machine was particularly loaded down.
I never saw any wires "jump" but you could feel them move when there was a lot of current going through them.
For example, when an electric-over-hydraulic system was loaded down, you could feel the wires pulse with a vibration. Hard to explain unless you've felt it. That was AC current, not DC though. The 480v ac machines pulled some serious power. Off topic, but I think it would be interesting to study the electromagnetic fields in production facilities.