"In a modern test, a direct hit from a steel bodkin point penetrated Damascus chain armour, although at point blank range.[2] However, the test was conducted without a padded jack or gambeson, which was layered cloth armor worn over heavier armor for protection against projectiles, as it was known to stop even heavy arrows. [3] Furthermore, and despite the author's assertion, the penetration ability of the arrow would decline according to the distance it has traveled due to drag. Lastly, a human body standing will give, another factor not accounted for in this experiment."
From your wiki article.
This basically says that arrows won't penetrate a chainmail worn by a human with padded jack/gambeson under it.