A tip arrangement for a bottle used for dispensing viscous liquid, such as drops of medicine, is provided. Embodiments include a tip insert having an insert body and a piercing point at a lower end of the insert body, for piercing a top surface of the bottle and for retaining the tip insert on the top surface of the bottle after piercing. A passage extends from a distal end of the piercing point, through the insert body, to an opposing upper surface of the insert body. A dispensing tip at the insert body upper surface communicates with the passage for precisely forming drops of the liquid from the bottle.