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Locked luggage, two areas with a bit different wordage, one says:

Unlocking Checked Bags

TSA suggests that you help prevent the need to break your locks by keeping your bags unlocked. In some cases screeners will have to open your baggage as part of the screening process. If your bag is unlocked then TSA will simply open the bag and screen the bag. However if the bag is locked and TSA needs to open your bag then locks may have to be broken. You may keep your bag locked if you choose but TSA is not liable for damage caused to locked bags that must be opened for security purposes. If you are transporting a firearm please refer to the on "Transporting Firearms and Ammunition" section at the bottom of this page for directions on locking your bag.

If TSA screeners open your bag during the screening procedure they will close it with a tamper evident seal and place a notice in your bag alerting you to the fact that TSA screeners opened your bag for inspection.