All that chatter about market recovery and foreign buyers seems to have the 17th-floor unit at 812 Fifth Avenue paying attention. The apartment, designed by French architect and Philippe Starck protege Joseph Dirand, has been pretty, ah, experimental when it comes to pricing. First, in early 2009, it tried a $14.85 million price tag, then $11.9 million, then $9.95 million in cash. More than a year after the last PriceChop, it has returned to market with a new broker and a price of $12 million. Looks like the cash flow problems have disappeared, so thinner-walleted buyers should feel free to put in offers, oui?