There are essentially two types of operations for inverted nipples although many different ways of doing the surgery.
Duct preserving surgery
The milk ducts are mostly preserved and the tight tissue or very short ducts are released leaving the majority of ducts intact. This procedure leaves the option of breast feeding for the majority but has a higher failure rate.
Duct dividing surgery
This depends upon the need to change the size of the breast, the shape or both. Sometimes one breast is normal and the opposite breast needs changing. In some patients both breasts are abnormal and therefore both require surgery.
The surgery can be performed as a daycase under local anaesthetic. It has a quick recovery time and is generally very well tolerated.