"Making run at" is a phrase that implies making an attempt or an effort towards achieving something. There are several antonyms for this phrase, including "giving up," "abandoning," "relinquishing," "abdicating," and "renouncing." While making a run at something suggests a proactive and determined approach, the antonyms imply the opposite. Giving up, for instance, suggests a passive and defeatist attitude towards one's goals. Abandoning, relinquishing, and abdicating imply a conscious decision not to pursue a particular objective any further. Renouncing suggests a complete rejection of an idea or goal. All of these antonyms describe a lack of motivation or determination in achieving an objective.