To rest satisfied, or apparently satisfied, or to rest without opposition and discontent (usually implying previous opposition or discontent); to accept or consent by silence or by omitting to object.
Tiger Woods was forced to acquiesce to his wife's demands after screwing every babe in a town with a golf course or else have her take him for all he was worth.
Boss: I have decided to remove all cubical walls in order to improve communication between co-workers
Employee: I'll acquiesce to your judgment oh great one...
The ironic act of creating a new word to mock someone else making up new words using a website that promotes and archives English slang.
Calling Sarah Palin's creative use of the English Language Palinpropism on Urban Dictionary is both ironic and idiotic.