They live unique lives, exactly like mammalian termites, with a queen mother and a lot of pheromones. Most animals never have sex, produce milk or get pregnant in its entire life.
This animals starve, CAN adapt its body temperature to the temperature of it surroundings (i.e like reptiles do), have a slow metabolism, low respiratory rates...
And live in a clean environment free from chemicals... How much plastics, cancerous substances and pesticides can you find in a desert of Africa?... not much, I guess.
So... big surprise... they live much longer lives that rats and its tumorous cells are as lazy growing as the rest of its metabolism
The clue to beat cancer revealed by mole rats!:
Don't expose yourself to all that causes cancer, like hight metabolism rates, cancerous substances, sun rays, sexually transmitted viruses...