A. Ironside, in refuting the teachings of Bullinger, cited this passage:
If anyone advocates a different doctrine, and does not agree with sound words, those of our Lord Jesus Christ, and with the doctrine conforming to godliness, he is conceited and understands nothing; but he has a morbid interest in controversial questions and disputes about words, out of which arise envy, strife, abusive language, evil suspicions, and constant friction between men of depraved mind and deprived of the truth, who suppose that godliness is a means of gain. (1Timothy 6:3-5)
Here is Ironside's application of the passage to hyperdispensationalism:
One would almost think that this was a direct command to Timothy to beware of Bullingerism! Notice, Timothy is to withdraw himself from, that is, to have no fellowship with, those who refuse the present authority of the words of our Lord Jesus Christ. Where do you get those actual words? Certainly in the four Gospels. There are very few actual words of the Lord Jesus Christ scattered throughout the rest of the New Testament. Of course there is a sense in which all the New Testament is from Him, but the apostle is clearly referring here to the actual spoken words of our Saviour, which have been recorded for the benefit of the saints, and which set forth the teaching that is in accordance with godliness or practical piety. If a man refuses these words, whether on the plea that they do not apply to our dispensation, or for any other reason, the Spirit of God declares it is an evidence of intellectual or spiritual pride.12
Ironside is saying that when Paul warned Timothy against those who do not teach doctrine in agreement with "the words of the Lord Jesus," since those words are found in the gospels, Paul is warning against teachers like Bullinger and his hyperdispensational descendants.
Furthermore, the book of Hebrews claims that God has spoken "to us in His Son" (1:2) and claims Jesus' words were confirmed to us by the apostles: "How shall we escape if we neglect so great a salvation? After it was at the first spoken through the Lord, it was confirmed to us by those who heard, God also bearing witness with them, both by signs and wonders and by various miracles and by gifts of the Holy Spirit according to His own will" (Hebrews 2:3, 4).
That should settle the matter—Jesus' words and the words of His apostles are both considered from Jesus and binding on the church. But this does not work with hyperdispensationalists because to them the book of Hebrews is not for the church either. For example, Les Feldick will only apply Hebrews to those Jews under a different gospel than Paul preached:
http://cicministry.org/commentary/issue108.htm