First where is the chip? If it needs to be strong think about epoxy, much stronger for major repairs. Super glue gets brittle over time. If the chip is minor and just needs to be reattached then think about super glue. Use the medium thickness, it is easier to control and will give you good working time to get the chip in the exact spot. Thin will run all over the place and can setup in just a few seconds. Keep constant pressure on the chip for several minutes and the accelerator is not needed. Plus the glue line will be almost invisible.
I use all three types of super glue in making and finishing pens, all the time. Accelerator can give you white spots in the finish and for small repairs is not needed. Thick glue will often need accelerator just to setup. Thin penetrates well but is not very strong so if the chip is not a perfect fit it will chip again. Thick does fill gaps but any gap, even if you push fine sawdust into it, will look like crap. Dry fit the chip to make sure you have a perfect fit.
A trick to try is to use scotch tape to mask off the area next to the repair. It will protect that area and limit the potential glue mess so that the finished job will look much nicer. And last but not least gluing your fingers to the repair is not a sign of a good repair so keep some of your wife's nail polish remover nearby. DAHIKT, do not ask how I know this.
