One of my current clients is the ex-Principal of Clifton High School, so I gave him a call. He left in 2006 and at that time, they were and probably still are, the 2nd largest high school in the State. As such, they do not allow additional students from out of district to attend. I would check the current policy by contacting the school district. I would call the Superintendent's Office. Here is the website link with telephone numbers http://www.clifton.k12.nj.us/contacts.asp.
If you are interested in purchasing a home in the area near Clifton, give me a call and I would be more than happy to assist you in your search.