Urgency is a related term of pinch.
As nouns the difference between urgency and pinch
is that
urgency is the quality or condition of being urgent; insistence; pressure; as, the urgency of a demand or an occasion while
pinch is the action of squeezing a small amount of a person's skin and flesh, making it hurt.
As a verb pinch is
to squeeze a small amount of a person's skin and flesh, making it hurt.