Shinne**** west might be in Suffolk County, but is under Southampton Town Regulations. About 4 years ago it was under Suffolk County.
It is a mix of a Private Marine Construction Company and the Army Corp of Engineers to watch and make sure everything is stable and won't have effects elsewhere in the inlet.
From what I heard about this construction, it was planned over 2 years ago, and FINALLY got approved by the Southampton Town Council. They wanted it started after the beach season(sept. 15) because they didn't want to drive away tourists.
I remember 4 years ago, the West beach was Suffolk county, just like the East, but you didn't need a permit during the season. Now you need a Southampton Town Permit.