And Asahel pursued Abner, and as he went, he turned neither to the right hand nor to the left from following Abner.
We have here the contest between Abner and Asahel. Asahel, the brother of Joab and cousin-german to David, was one of the principal commanders of David's forces, and was famous for swiftness in running: he was as light of foot as a wild roe (Sa2 2:18); this he got the name of by swift pursuing, not swift flying.
Commenting on 2 Samuel 2:18-24
And Asahel pursued after Abner,.... Ambitious of the glory of taking or slaying the general of the army of Israel; trusting to his swiftness, not considering that the race is not always to the swift, and that he had to do with a veteran soldier, and he a raw young man, though valiant: and in going he turned not to the right hand nor to...
ASAHEL SLAIN. (Sa2 2:19-32) Asahel pursued after Abner--To gain the general's armor was deemed the grandest trophy. Asahel, ambitious of securing Abner's, had outstripped all other pursuers, and was fast gaining on the retreating commander. Abner, conscious of possessing more physical power, and unwilling that there should be "blood" between himself and Joab, Asahel's brother, twice urged him to desist.