eyelet

noun

1.
a small hole (usually round and finished around the edges) in cloth or leather for the passage of a cord or hook or bar
oose eyehole
Derived from:
eye
2.
fastener consisting of a metal ring for lining a small hole to permit the attachment of cords or lines
cringle grommet grummet loop
Derived from:
eye
3.
fabric decorated with small holes with finely stitched edges that form an ornamental pattern.