Because the approach is different, some complications become rare, but others become more likely. Injury to the bile duct, although very rare, is a serious complication which seems more frequent with laparoscopic cholecystectomy than the open method. More common, although much less serious, is a reaction to the suture or infection of the wound at the belly-button. Personally I have been very fortunate. That is even less than quoted in the literature for open surgery, and considerably less than reported for laparoscopic surgery.
Some patients experience pain in the right shoulder for a few days.
This comes from irritation of the diaphragm by gas, blood or bile at the time of surgery. Patients with small stones may have passed a few silently into the bile duct. There may be a little oozing from your wound or bruising around it. This is of minor nature and resolves in time. Occasionally a laparoscopic procedure may have to be changed to open for the patient's safety.