I still have my PPort/SCSI ZIP 100 drive as well as a ATA internal drive. Both still working. I also have 6 zip disks that are all working. I blanked them out about to sell them, but decided against it.
If I recall, one of the causes of the click of death was due to the edge of the media fraying. When this happens, the heads get sheared off. This will cause the head to do more damage to the disk.
Now when you insert a good disk into a bad drive, the heads can now do damage to that disk. Now if you put that damaged disk into a good drive, bye bye heads. Hence why the click of death was "contagious".
Now there was also a soft click-of-"death" (not really death) where the media was just hard to read. The head springs back to the edge to reset itself (to reset it's known position) and tries again - that is the clicking sound. Is the same reason why it does that when the heads were sheared off in the first scenario (can't read, so it keeps springing back to the edge to reset, tries again, springs back, repeat).
In the soft error scenario, however, if the disk is physically good, all you may need to do is just reformat the disk and it'll be good again.
If you ever come across a disk/drive combo that's clicking, first check the disk's edges to see if it's nicked, frayed, or uneven. Then check the drive to see if the heads are still attached to the armature. DO NOT stick another disk into the drive, OR stick the clicking disk into ANOTHER zip drive until you determine it's not a physical problem.
More info on this issue:
https://en.wikipedia.org/wiki/Click_of_death