Not as cool as the original story, but I was working with a big carboy of dilute HCL in a CHEM 101 lab. The previous person that used the carboy had managed to spill dilute HCL all over the stopper. I was not aware of this.

The protocol was to grasp the stopper between middle and ring finger, pull it out, then pick the carboy up with both hands and pour into the beaker. That way, the only thing the business end of the stopper ever touches is the inside of the carboy.

I'd just started pouring when I felt the skin between the two fingers start to itch. It was obnoxious, but I had a heavy piece of glassware in my hands trying to measure out a precise amount. So I ignored it until it started to burn. By that point I almost had enough in my beaker so I topped it up. Then I lowered the carboy and replaced the stopper.

Then I ran over to the sink, turned it on full blast, and washed the acid off my hand. I had a red, tender patch there for days. After that, I always wiped the stopper off with a paper towel before I pulled it out.