Remove the pool cue tip entirely from the pool cue using a knife. Make sure the whole tip is removed, and no remnants remain in the ferrule or ivory cap that houses the pool cue tip at the end of the pool cue.
Clean the ferrule of the pool cue by dabbing a paper towel with nail polish remover and rubbing inside and around the ferrule. Do this until all dirt, debris and old glue has been removed.
Glue the new pool cue tip to the pool cue ferrule by placing a drop of super glue on the tip's base and placing it in the ferrule. Hold the cue tip in place until it has sufficiently adhered to the ferrule, which should take a minute or two.
Clean the ferrule of any leftover glue by rubbing it with a paper towel that has a dab of nail polish remover on it. Start at the top of the ferrule and clean down and away from the new pool cue tip. Be careful not to get any nail polish remover on the new tip.
Put a pool tip clamp over the top of the new cue tip and secure the clamp by pushing the pressure clips down and over the sides of the clamp. Let the pool stick sit with the clamp on it for several hours. Don't rest the stick on the clamp, as this could cause the new tip to dry at an angle.
Take the pool tip clamp off and check the new tip by attempting to push it from side to side. If the tip seems fully secure, use a knife to trim the tip and then prime it with lots of pool chalk. Your cue tip should now be ready to hit with.