24 Simon Peter therefore beckoned to him, that he should ask who it should be of whom he spake.
[AD 253] Origen of Alexandria on John 13:24
Now, beckoning is taken as slander in proverbs, for the wicked person “beckons with his eyes” … Peter’s act, however, was to beckon out of his eagerness for knowledge, and subsequent to such beckoning, to say to his fellow disciple, since he was more intimate with the teacher, “Tell us who it is of whom he speaks.”

[AD 253] Origen of Alexandria on John 13:24
(t. xxxii. 13.) Or, at first he beckoned, and then not content with beckoning, spake: Who is it of whom he speaks?

[AD 407] John Chrysostom on John 13:21-25
(Hom. lxii. 1) Our Lord after His twofold promise of assistance to the Apostles in their future labours, remembers that the traitor is cut off from both, and is troubled at the thought: When Jesus had thus said, He was troubled in spirit, and testified, and said, Verily, verily, I say unto you, that one of you shall betray Me.

(Hom. lxxii. 1) As He did not mention Him by name, all began to fear: Then the disciples looked one on another, doubting of whom He spake; not conscious of any evil in themselves, and yet trusting to Christ's words, more than to their own thoughts.

While all were trembling, and not excepting even Peter, their head, John, as the beloved disciple, lay upon Jesus' breast. He then lying on Jesus' breast saith unto Him, Lord, who is it?

(Hom. lxxii. 1) If thou want to know the cause of this familiarity, it is love: Whom Jesus loved. Others were loved, but he was loved more than any.

(Hom. lxxii. 1) Whom Jesus loved. This John says to show his own innocence, and also why it was that Peter beckoned to him, inasmuch as he was not Peter's superior: Simon Peter therefore beckoned to him, that he should ask who it should be of whom he spake. Peter had been just reproved, and therefore, checking the customary vehemence of his love, he did not speak himself now, but made John speak for him. He always appears in Scripture as zealous, and an intimate friend of John's.

[AD 407] John Chrysostom on John 13:21-25
"When Jesus had thus said, He was troubled in spirit, and testified, and said, Verily, verily, I say unto you, that one of you shall betray Me."

Again He bringeth fear on all by not mentioning the traitor by name. "But they are in doubt"; although conscious to themselves of nothing evil; but they deemed the declaration of Christ more to be believed than their own thoughts. Wherefore they "looked one on another." By laying the whole upon one, Jesus would have cut short their fear, but by adding, "one of you," He troubled all. What then? The rest looked upon one another; but the ever fervent Peter "beckoneth" to John. Since he had been before rebuked, and when Christ desired to wash him would have hindered Him, and since he is everywhere found moved indeed by love, yet blamed; being on this account afraid, he neither kept quiet, nor did he speak, but wished to gain information by means of John. But it is a question worth asking, why when all were distressed, and trembling, when their leader was afraid, John like one at ease leans on Jesus' bosom, and not only leans, but even lies on His breast? Nor is this the only thing worthy of enquiry, but that also which follows. What is that? What he saith of himself, "Whom Jesus loved." Why did no one else say this of himself? Yet the others were loved too. But he more than any. And if no other hath said this about him, but he about himself, it is nothing wonderful. Paul too does the same when occasion calls, saying thus, "I knew a man fourteen years ago"; yet in fact he has gone through other no trifling praises of himself.

[AD 430] Augustine of Hippo on John 13:24
(Tr. lxi. 6.) Observe too his mode of speaking, which was not by word, but by beckoning; Beckoned and spake, i. e. spake by beckoning. If even thoughts speak, as when it is said, They spake among themselves, much more may beckonings, which are a kind of outward expression of our thoughts.

[AD 1107] Theophylact of Ohrid on John 13:24
Why then does Peter not ask the Lord himself, but gives a sign to John? In many cases Peter, out of great fervor, was impetuous, but was subjected to reproach. Therefore now he was afraid to ask, lest the Lord once again rebuke him as being impulsive.