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If you are using the version 2013.3.18 of the tooltip, you can disable the hovering-and-stay by the following approach:
Open the tooltip.js with Notepad, search for c.onmouseover=D; and then delete it (c.onmouseover=D;).
[Update] In the new version v2013.7.7, the tooltip's staying delay after mouse left the target or the tooltip window is totally determined by the hideDelay option in the tooltip.js. You don't need to bother with the approaches mentioned above and below.