How long will jaundice due to cholelithiasis last after cholecystectomy?

For some times. Raised bilirubin causes jaundice, or yellow pigment on sclera ( eye) both due to obstruction of ducts as in stones or due to liver diseases. After removal obstruction eye remained stained for a while due to tissue stain , by Albumin bound delta bilirubin . Since Albumin has half life of 20 days , so it takes time to clear jaundice completely even though blood levels are normal.
Not Very. If all of the stones were removed it should start returning to normal within hours. It can be delayed some by significant inflammation.