On mobile, they rage but they don't actually att ak you or your tames. I live below a cliff and my giga fell of and her eyes glowed but she didn't do anything.
These things (when tamed) take HUGE fall damage. Though if you are falling on it and have time, quickly press the dismount button. The dino will take 0 damage from the fall, you might die from the fall but giga will be fine. (Works on any dino)