There are two sure-fire ways to get tagged with liability for site safety:

1.  Assume site safety responsibility in your contract with the owner
2. Assume site safety responsibility by your behavior on the jobsite.

#1 is pretty clear cut, and is easy enough to avoid. But you and your employees should be on your guard against #2. If your contract specifically excludes site safety responsibility (as it should), and the owner-contractor contract specifically includes site safety responsibility (as it should), then you must leave this duty ...