Quick answer
Stop listening and you will drift. The verse states it as a dare rather than a warning, and the sarcasm is deliberate.
Read both lines
The grammar is odd and the oddity is the craft. Read straight, the father is telling his son to quit, which cannot be what he wants after eighteen chapters of pleading; read as irony, he is saying go ahead and stop, and here is exactly where you will end up. The second verb is about wandering off a path rather than making an error, so the consequence is not a wrong answer but a lost position. It is the only place in the book that uses this device, and it works the way a parent's flat "fine, don't listen" works, which is by handing the choice back. The address, my son, keeps it from being cruel.
Related: Proverbs 1:8 · Proverbs 4:1 · Proverbs 5:7 · Proverbs 23:12
New King James Version®, Copyright © 1982, Thomas Nelson. All rights reserved. Full copyright information. Scripture provided by API.Bible.
Go Deeper
If this verse has been used to put weight on you that it was never carrying, ask about it directly.