The Honolulu Cloning Technique is a cloning method developed in 1998 at the University of Hawaii that uses adult cells and nuclei to clone mice over multiple generations. It involves removing the nucleus from an egg cell, injecting the nucleus of a donor cell, and chemically stimulating the new cell to grow. This creates embryos that are implanted in surrogate mothers. The technique was used successfully to clone three generations of mice and has the benefits of higher success rates and allowing further research, but also has risks like trial and error failures, reduced genetic diversity, and expense.