Some objects that contain metal are valuable and the airline has no liability if you put them in a checked bag. Put them in carry-on, but have them where you can easily grab them and get them out to show if the officer has a question about your bag. I have some large pieces of silver jewelry that invariably show up on the X-ray and have to be taken out by hand. One of them is a long silver eagle feather. I imagine it looks like a small knife or blade on the X-ray. They just have to see it to know what it is.
Some of them want to search the bag themselves, when they see something on the X-ray. Then I just kind of point and explain, It's probably in that pocket to the side there. Anything to help smooth the process along. Sometimes I put the jewelry bag out separately, but I don't know if that's better. Occasionally those small jewelry bins flip over and I worry that the chain could get caught in something. So usually I do leave it in the carry-on but in an accessible, easy to find place.