Another repair in space made with duct tape was on the Hubble Space Telescope. During the second servicing mission back in 1997, the astronauts found that some of the insulation near the light shield and on the leading side (ram direction) had torn or otherwise failed. The lesson learned was that the insulation material was taut, and forty thousand or so thermal cycles later, the Teflon cracked apart. The ultraviolet radiation and atomic oxygen did their damage, too.
The astronauts had been trained in how to patch the insulation in the event of space debris/micrometeoroid impact damage, but this damage was over a larger area. During breaks between spacewalks, the astronauts put together several thermal blanket patches with good old duct tape.
A couple of spacewalks later, and the patches looked pretty good.
So what has duct tape done for you?