I work in a high school in a California school district where they're discussing banning cell phones.
Most teachers I've talked to about it think it's really fucking stupid because you're not going to be able to ban them, partly because a TON of parents showed up at the school board meeting to say they would send them with their kid anyway for a variety of reasons. The board also talked about different things they could buy to take phones and lock them up during class or as students come in. Most of the solutions were pretty expensive, and some of the schools are literally falling apart, so that also pissed people off.
A great start would be to have a campus-wide rule that is CONSISTENT. Some teachers give out a detention if they even see the phone. Some do activities with QR codes and use them as tools. Some have boxes on the corner of their desk and students are required to keep their phone in the box so the teacher can see if they reach for it. We have students with free periods, and if they don't go home, they hang out outside around campus or in the library. Should phones be banned then too? Or just during class?
There are so many ways to try to deal with it, and at least in my school (not even the district as a whole), every teacher deals with it differently. I doubt the state of New York is all that different.