Do you work for a private employer in New York City, or do you work for the city itself? In one of your other posts you said that you are a New Jersey resident, so you should not be paying New York City income tax. But nonresidents who work for most branches of the city government do have to make Section 1127 payments to the city. Could that be what NY CIW is? Technically Section 1127 payments are not a tax. Does the NY CIW amount on your pay stub appear in box 19 of your W-2, or anywhere else on your W-2?
Again, you have to ask your employer what it is.
