I've been using super glue to close up cuts and cracks on my hands/fingers for years. It only last a day or so and I have to reapply. I take long showers at least twice a day, though, so YMMV.
My advice would be to wait it out.
The last time I used super glue, I got some on my jeans. I went at it with acetone for about ten minutes and made no progress... aside from getting a little high and exposing myself to a mild carcinogen.