gunning for

gunning for something

trying to achieve something Students gunning for admission to one of the top colleges often believe their test scores are the most important thing.
See also: gun

gunning for somebody

trying to hurt or defeat someone Now that we're the champions, everybody's going to be gunning for us.
Etymology: based on the literal meaning of gunning for someone (to try to find someone so you can shoot them)
See also: gun