AVERUNCATE


averuncate: to eliminate what hurts
There's also averruncate, with two Rs, which means "to uproot or weed out." Similar enough that they could be the same word. But for whatever reason, the single R version appears to be associated with pain. According to my research, at least.
And yes, I know Bandaids don't technically take away pain. But try telling that to a child. I used it because it's a universal symbol for soothing what hurts.