Nor should you use the term "maille," which is just as archaic and unnecessary as "chainmail." It's the norm for scholarly discussion of such armour to simply refer to it as mail.
I prefer "maille" because it has an unambiguous meaning, contrary to "chain-mail" or merely "mail". In semantical terms, it means nothing but a fancy archaism, but one that works nevertheless and is not that hard to grasp.