Other hyponyms of piece of material include
bib,
chamois cloth,
dishcloth,
dishrag,
drop cloth,
dustcloth,
duster,
dustrag,
dust cover,
dust sheet,
end,
oddment,
remainder,
remnant,
gore,
panel,
ground cloth,
groundsheet,
guimpe,
gusset,
inset,
handkerchief,
hankey,
hankie,
hanky,
liner,
lining,
longyi,
lungi,
lungyi,
patch,
placket,
rag,
shred,
tag,
tatter,
canvas,
canvass,
sail,
sheet,
swatch,
towel,
train,
cleaning cloth,
wiping cloth.