Babylonian Talmud. חָלוּק
While not mentioned in the Bible, Rabbi Benaah mentioned the chaluk and the tallit as an inner and outer garment, respectively.
A sage of the early third century, it is possible that these terms were used during New Testament times.
Rabbi Benaah held that the chaluk of a religious student should be opaque (so you could not see through it), the wearer should take care to maintain it right-side out, and that it should be a tefach, or handbreadth, longer than the tallit. A handbreadth is about approximately 8 – 10 cm, or 3 – 4 inches.