A spokesman for Rennert said that: "Singling out Mr. Rennert in this manner is unfair. Mr. Rennert is but one of numerous corporate executives, as well as many Hamptons residents, who travel by helicopter. Mr. Rennert’s crew takes the utmost care not to exceed height and noise restrictions and to follow all flight regulations.”

Still, as one wealthy Hamptons resident told me, “Rennert always feels like he has to be bigger than anyone else. The house, the helicopter. He’s become the symbol of excess here.”

In the Hamptons, that’s an achievement.

-By CNBC's Robert FrankFollow Robert Frank on Twitter: @robtfrank

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