Good points on changing the rules on where the coach can stand, how long, how they would like to spot for safety, etc.
Things that have already been changed to increase safety: change the vault to a vault table, ban this skill:
"Banned Move" :
[youtube]KqhfBYdETRk[/youtube]
more banned skills:
"Gymnastics - Banned Moves montage" :
[youtube]ZyZz2y-x3Sk[/youtube]