Quile is the abbreviation of "quite a while". To "be a quile" is to be gone for a long period of time, although the actual period of time does not have to be pre-determined.
For instance, your Manager is stepping out for a long, liquid lunch, and on their way out the door he/she says "Hold my calls Janet, I'll probably be a quile".
by JulzBris January 28, 2014

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