Savannah monitors like to hide in dark areas, so be sure to provide an adequate place in your lizard's cage for hiding.
Savannahs tend to be docile if handled frequently when they are young and young animals are usually easier to tame. Some monitors, however, no matter how often they are handled, will remain aggressive.
With young lizards, start handling them and petting them on the neck and sides for brief periods several times a day. The more time you spend with your lizard, the easier (and faster) it will tame.
Allow your new monitor to become accustomed to its surroundings before you begin taming it. It may take up to 2 to 3 weeks for your lizard to be acclimated to its new home. It should be eating on a regular basis, and appear relaxed