Just a few comments, not to contradict, but to help others.
While the TSA site gives guidance on what may be OK or not OK, it is logical to say that the guidance is not definitive, leaving it to the various agents to make a decision.
For example, I can bring up a dozen pictures of "knives under 3 inches" that would range from most people not allowing to most allowing. Same with cork screws and nearly every other item. Also please note that at the very top of the "official list" it clearly states that the TSA agent has the final decision on whether an item is allowed or not. https://www.tsa.gov/travel/security-screening/prohibited-items I know we all think they are idiots and not worth our respect, and as good tax paying citizens (well they pay taxes as well) they all should bow down, but I at least cut them some slack.
TSA rules are not World-wide rules. The TSA only controls what boards flights in the US (and yes, some security check points overseas for flights headed to the US). Europe has their own guidance and rules, Japan theirs, and I suppose any sovereign political entity has their own rules. So yes, attempt security in the EU with a corkscrew, and they find it, they will take it...not the fault of the TSA, go through security on arrival in Japan, they take something, again, not the TSA. Might be a good idea to investigate the guidelines of countries you will be flying into or through. Europe ( http://ec.europa.eu/transport/modes/air/security/doc/info_travellers_hand_luggage.pdf ) for instance simply states "Objects with a sharp point or sharp edge" then gives examples...for example "knives with blades over 6 cm" but note that they do not state that knive with blades under 6 cm are always OK, again, up to the agent.