How long can you live once you successfully treat hodgkin's lymphoma?

Long time hopefully: If you achieved a complete remission and you are cured- providing that you dont have other major medical problem and you dont develop any significant adverse events from the therapy for the hodgkin's-such as second malignancy- then your life expectancy will be good. Off course your risk for recurrence will depend on your stage and treatment received. Healthy lifestyle/habits and f/u with your md.

Normal life: Span. There are risks of recurrence, and late effects of treatment, but you can live as long as others in your family and friends.