Low haptoglobin 0.24g/l with chronic elevated liver enzymes ALT of 100 AST of 55.Asymptomatic full neg- workup for all liver diseases in a 24 year old?

Monitor this. You need to continue follow-up with your doctor. Pathology may emerge over time, but many patients have slightly elevated lft's like yours, that never amount to any problem. In many cases, fatty infiltration of the liver is identified by ultrasound, and does not progress to actual liver disease.