Bill and Hillary Clinton lived it up like the locals in the Hamptons this weekend. On Friday, the former president and current secretary of state were spotted at Brooke and Daniel Neidich’s annual summer bash at their Wainscott compound, which also served double duty as the birthday party for their son John Neidich, who is a co-owner of hip NoHo restaurant Acme. Sources told us everyone let their hair down except Hillary, who wore her hair back in a scrunchie. The next day, the Clintons were spotted at dinner at 1770 House in East Hampton with daughter Chelsea and her husband, Marc Mezvinsky. We’re told Secret Service accompanied the Clintons and munched burgers at a table nearby. Bill — who celebrated his 66th birthday on Sunday — and Hillary are said to be renting a home for the month of August in East Hampton owned by real-estate honcho Elie Hirschfeld. Last summer, they rented the same home but only stayed for a week.