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John Gill
I have no greater joy,.... Nothing that causes greater joy. The Vulgate Latin version reads "grace" or "thanks"; and then the sense is, that he had nothing to be more thankful for: than to hear that my children walk in truth; meaning his spiritual children, those whose conversion he had been the instrument of; and among these it seems Gaius was one.
Matthew Henry
Salutation and Prayer. (a. d. 90.) 1 The elder unto the wellbeloved Gaius, whom I love in the truth. 2 Beloved, I wish above all things that thou mayest prosper and be in health, even as thy soul prospereth. Here we see, I. The sacred penman who writes and sends the letter; not here indeed notified by his name, but a more general character: The elder, he that is so by years and by office; honour...