noun

1. pile; heap; layers (e.g. of clothing); set (e.g. of boxes); course (e.g. of stones) (esp. 重ね)
2. layers of clothing worn under one's overcoat (esp. 襲)
3. abbrev. combination of colors created by layering of garments (colours) (esp. 襲)

counter

4. counter for things that are stacked, piled up (or layered, etc.) (esp. 重ね; used after a word from the "hito-futa-mi" counting system)