Re: "tucked away in the Privacy and Security settings"
Just tried that in Palemoon and it brought up a "Clear recent history" dialogue, with the option to select what you want to delete (Cookies, browsing history, cache, etc) and to choose "how recent" (last hour, last two hours, last four hours, today, or everything).
I have it set to wipe cookies, history, etc, when I close the browser - but this could be a useful shortcut sometimes.