NARROWING

To reduce in width or extent; to contract.

"We need to narrow the search."

To get narrower.

"The road narrows."

(of a person or eyes) To partially lower one's eyelids in a way usually taken to suggest a defensive, aggressive or penetrating look.

"He stepped in front of me, narrowing his eyes to slits."

The process of becoming narrow.

"narrowings of the road"

The part of a stocking that is narrowed.