Circular thread cutters or any other cutter or needlepoint tools that contain blades must be placed in checked baggage. You are permitted to keep scissors smaller than 4 inches in your carry-on baggage.
Even if an item is generally permitted, it may be subject to additional screening or not allowed through the checkpoint if it triggers an alarm during the screening process, appears to have been tampered with, or poses other security concerns. The final decision rests with TSA on whether to allow any items on the plane.
In other words, you can, unless they tell you that you can't.
To find out what you can bring, go to tsa.gov and look for the "Can I bring..." search box.
//A