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1.
A Hollywood biz term (used often in "Variety"), meaning to walk out of, or to quit, a job. Because if you just said "quit," more people would actually understand what you're talking about.
After two years at the helm of Telemundo, Lance Turgidson is ankling his position of CEO of the network to pursue a career as a mime.
by postmod April 12, 2005
 
2.
a stupid word people tend to use in place of shucking. but everyone knows that this is a stupid term and shuck is a much better one.

one should never use the term 'ankling', 'pants', or 'depants'.
It's not ankling you retard! It's SHUCKING!
by ClUrRy MUrRy October 22, 2004