—used as a function word to introduce the second or last member or the second and each following member of a series of items each of which is negated <neither here nor there><not done by you nor me nor anyone>
—used as a function word to introduce and negate a following clause or phrase
Although use with or is neither archaic nor wrong, neither is usually followed by nor. A few commentators think that neither must be limited in reference to two, but reference to more than two has been quite common since the 17th century <rigid enforcement of antique decorum will help neither language, literature, nor literati — James Sledd>.
Origin of NOR
Middle English, contraction of nother neither, nor, from nother, pron. & adjective, neither — more at neither