Bandages have often appeared throughout the series. Main characters who were fatally injured had their wounds covered with this plain medical material which inexplicably cured and even revived them. The first occasion was when Hank got shot in the head by Jesus in Madness Combat 2: Redeemer and returned in Madness Combat 3: Avenger for a second chance. He was killed by Jesus stabbing him in the back at the end of this animation, but once again returned in Madness Combat 4: Apotheosis, having these wounds once again covered up with more bandages. In this animation Hank blew himself up in a suicide attack and, not too surprisingly, returned with bandages covering large parts of his torso and possibly his face (which was barely visible because of Hank wearing a face mask, a pair of red glasses and a bandana).
Hank's (as well as Jesus' and Tricky's) revivals have not yet been explained, but in speculations people claim that they were performed by the Auditor or the Higher Powers. As for this type of suggestions, bandages were believed to belong to a supernatural healing process, along with stitches that held together pieces of Jesus' face after Hank's suicide attack ripped it apart. This idea is contradicted by events in Madness Combat 5.5 in which Sanford and Deimos used these bandages to cover up non-fatal head injuries. This reveals that the simple explanation might be that the process of revival is not related to the bandages and bandages were only used to cover up possibly improperly treated wounds.
To view an article on the medical bandages from Wikipedia, click here.