Scrap or wipe off as much of the lipstick or chapstick as you can using a butter knife and then using a tissue. Take care not to scratch the paint or tear the paper on the wall.
Blot the stain with mineral spirits on a cleaning cloth or tissue. This is often sufficient to remove most, if not all, of the stain.
Sponge the remaining stain off with a mixture of equal quantities dishwashing liquid and white vinegar diluted in water. Good Housekeeping recommends 1 tablespoon of each mixed with 2 cups of water.
Wipe the stain with a powerful make-up remover, or even baby lotion. The grease in lipstick may be removed through use of a lotion. Wipe with a damp cloth afterward to remove traces of the lotion or remover.
Use dry cleaning fluid on a fresh cloth. Open a window during the process to reduce inhalation of the fumes.
Use a proprietary grease stain remover according to the manufacturer's instructions. The primary base of lipstick or chapstick is grease and such products are likely to work best.