Too God-fearing to kill the Lord’s anointed, David had instead cut off a piece of Saul’s robe.
When David told him what had happened, Saul’s response appeared to be conciliatory:
1 Samuel 24:17-20 … You are a better man than I am, for you have repaid me good for evil. Yes, you have been amazingly kind to me today, for when the Lord put me in a place where you could have killed me, you didn’t do it. Who else would let his enemy get away when he had him in his power? May the Lord reward you well for the kindness you have shown me today. And now I realize that you are surely going to be king, and that the kingdom of Israel will flourish under your rule.
Saul went back home, but David went back to his stronghold.
Soon afterwards, we learn that Saul hadn’t really changed. He still kept hunting David down.