Shock-jock Howard Stern is heading to new rental digs in New York’s Hamptons, it appears, as he continues to await the completion of the mansion that he’s building nearby. The New York Post’s fine celebrity real estate columnist Braden Keil is reporting today that Stern has signed “an extended lease at an undisclosed price” to rent a contemporary-style, oceanfront house that is owned by venture capitalist Chris Burch. As Keil and we had reported last month, the Hamptons mansion that Stern has been renting up to now, at 137 Murray Lane in Southampton, has just gone under contract for $34 million. Now, Stern reportedly is shifting his “rental” digs—which he’ll occupy until his mansion at 1 Squabble Lane in Southampton is completed—to the house at 2080 Meadow Lane in Southampton, according to public records. Keil reports today that Burch and his friend Todd Morley have listed the property for $25 million since October 2005. Situated on 4.5 acres, the property has 200 feet of ocean frontage and has views of the ocean and the bay. The mansion on the property was designed by architect Norman Jaffe and was custom-built by David Webb, according to listing information. Features in the house include six bedrooms, six and a half baths, a sunken living room, a dining room, a gunite pool with a spa and a sunken tennis court, according to listing information. Check out the property’s listing sheet—complete with a photo here. Stern’s Manhattan residence continues to be on the 54th floor of the Millennium Tower building at 101 W. 67th Street, where he paid a reported $5.9 million in 1998 for a 4,000-square-foot condo.