Open current tab in an incognito window. Use its toolbar button or the context menu option to open the current tab in a new private window.
Forget Tab is a simple and very lite Addon to easily clear history, cookies, storage and other info from current tab. Just click on the toolbar icon to clear desired items. A notification will show you what is cleared from current tab.
Adds private tabs, restartless extension for Firefox (20.0+) and SeaMonkey (2.17+)Discontinued
With "Forget That Page", you can totally delete the current webpage from your browsing history, just in one click ! It also deletes cookies, session storage, local storage and download history for that page.
Forget that page vs Close'n forget opinions
Should also close the tab... why to remove history and erase tabs and remain on the page?