John Chrysostom

"So that from his body were brought unto the sick handkerchiefs or aprons, and the diseases departed from them, and the evil spirits went out of them." Not touched the wearer only and so were healed, but also receiving them, they laid them upon the sick and so healed them. "He that believeth on Me," saith Christ, "doeth greater works than those which I do." This, and the miracle of the shadows is what He meant in those words. Wonderful, how great the power of them that have believed! Mark the infatuated Jewish hardness. …

Homily on Acts 41 ↗

Oecumenius

"handkerchiefs or aprons." I think both are linen-like; but the handkerchiefs are placed upon the head, while the aprons are held in the hands by those unable to wear handkerchiefs, such as those who wear secondary garments or sleaves to wipe away the moistures of the face, for example sweat, spittle, tears, and the like. [AMMONIUS]

Commentary on Acts ↗

Bede

So that even handkerchiefs or aprons that had touched his skin were carried to the sick. Many of us do not know what aprons signify; however, Gregory, who is now the bishop of the Apostolic See, while he was still an archdeacon, answered a friend from Britain who inquired about this among other things, that it is a kind of handkerchief which the Hebrews use on their heads.

Retractions on Acts ↗