The phrase “Monkey on your back” has 3 dictionary definitions, all of them negative:
1. To have an addiction, especially a drug addiction.
2. To have some very burdensome nuisance you have to put up with–in a sense wider than just a drug or other addiction.
3. To have a deep, uncontrollable desire to something such as Gamble, Smoke, or Drink.
I would like to submit a 4th definition:
To have the unconditional love of a creature who has no capacity to judge, no concept of being cruel, and lives every day with wonder and humor.
I for one NEVER want to lose the monkey on my back.