These hangups could be considered telephone harassment and I would recommend contacting your state Attorney General and the Florida Attorney General's Office. A business relationship is one thing, but repeated hangups are another. I would also contact Time-Warner and threaten not to renew in the future.
I've pressed 1 to not to placed on the Do Not Call List and no luck.
Here is another phone number for the company: 386-258-2400. I called this number and actually spoke to a person who said she'll put me on the list and I won't be called again. I guess we'll see...
Here is the company's website contact page, just in case
Well add my name to the list of people who are being harrassed! Hell may have no wrath like a woman scorned... but wait until they get a load of me!!!!