Most of the operations end up without any risks. The procedure however carries as much risk of anesthesia as any other operation (non-Aesthetic (Cosmetic)) will do.
The complications associated with this operation are:
Reoperation: Some patient may require additional surgery after the initial surgery. Such surgery is done at least 6 months after the original surgery.
It is to be noted that all these complications occur very rarely and not one particular patient will have all the complication.