"heady" can also mean "wise" and "judicious"?
How common is the meaning?
http://www.merriam-webster.com/dictionary/heady

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I have never heard it used in that way.  Heady always means intoxicating (as if drunk) or very exited, impulsive, at least in the usage I have seen.

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Heady can mean "involving the head (thoughts) a lot", that is to say "on an intellectual level"  but I really wouldn't equate it with wise or judicious (both implying experience).