A unit of weighty material importance (6)
I believe the answer is:
denier
'a unit' is the definition.
(I know that denier is a type of unit)
I can't explain the remainder of the clue.
Can you help me to learn more?
(Other definitions for denier that I've seen before include "measure of yarn's quality" , "Unit of weight of nylon, etc" , "One refusing to admit" , "One unwilling to accept" , "Units of weight in silks, nylon and other yarns" .)