Taylor Swift’s new neighbors in Watch Hill, R.I., may be regretting that the superstar singer (inset) moved into their exclusive seaside neighborhood. Why? Because when you have millions and millions of fans, there’s a strong chance a few of them will make a nuisance of themselves by trying to meet you. And that’s just what Lucas H. Vorsteveld, a 22-year-old Swift fan from Chicago, tried to do early Wednesday, according to police in Westerly, R.I. Vorsteveld was picked up by police at 2:15 a.m. after he allegedly tried to swim to a beach near the enormous house Swift just purchased in Watch Hill. (The singer paid $17.75 million — allegedly in cash — for the 11,000-square-foot property called Harkness House.) “He was walking near her house and was arrested for trespassing,” Westerly police Captain Shawn Lacey told us. Lacey said police were on a routine patrol when they came upon Vorsteveld walking on Lighthouse Road, which is clearly marked as private. Asked what he was doing there, Vorsteveld said he was “just out for a walk” and did not have a residence in town. Lacey, who fielded dozens of media calls about the arrest, wouldn’t comment on a report that Vorsteveld swam to the shore before walking. “We’re not confirming that,” he said. “I don’t know if he was soaking wet or not.” (TMZ, citing a police source, said Vorsteveld swam a mile, but turned back when he saw security outside Swift’s house.) Vorsteveld was taken into custody and later released on a summons to appear in Fourth Division District Court in Wakefield, R.I., on May 24. Built in 1930, Swift’s four-story house was once the summer home of Standard Oil heiress and Harkness Ballet founder Rebekah Harkness.