“Quenching” involves the ceasing of a function by extinguishing it. It is used for not dousing smoking flax in Matthew 12:20 and putting out a lamp in Matthew 25:8. By faith, the saints of old were even able to quench the violence of fire, Hebrews 11:34. For those who reject the truth of the Gospel for salvation, they will abide in a place where the worm is not quenched, Mark 9:44. The worm is referring to the sin nature; therefore, it is a place where the sin nature will never cease its cravings, for it will at no time be satisfied.
As Christians, we have been given the tools in Christ that enable us to quench the fiery darts of the malignantly evil one, Ephesians 6:16. These are his attempts to get us to act independently from God by persuading us to be bitter, disappointed, discouraged, lie, steal, gossip, or in any other way speak and act in a manner that is contrary to who we are in Christ. They are rightly described as fiery darts, for when we allow them in, they burn within us as they seek to overtake our thoughts and impact our actions. However, the shield of faith is able to quench them all.
We are not to quench the Holy Spirit, 1 Thessalonians 5:19. The Holy Spirit impacts us through our desires, Galatians 5:17. He does this by giving us desires that are contrary to the cravings from our flesh, which is where the sin nature resides. When we quench Him, we are rejecting His desires over the yearnings from the flesh. By applying the truth, we are able to have victory over our sin nature and will seek to fulfill the righteous desires He gives us so that we govern our conduct in the newness of life that we have in Christ Jesus and will stop quenching Him.