The Snatch and Clean and Jerk bring speed, power, coordination, agility, accuracy and balance to training and are indispensable to CrossFit programming and developing a well-rounded athlete.
In comparison with other strength sports, which test limit strength (with or without lifting aids), Olympic weightlifting tests aspects of human ballistic limits (explosive strength); the lifts are therefore executed faster—and with more mobility and a greater range of motion during their execution—than other strength movements.
While there are relatively few competitive Olympic weightlifters in comparison to CrossFitters, the lifts performed in the sport of weightlifting, and in particular their component lifts (e.g. squats, deadlifts, cleans), are commonly used by other elite athletes in other sports to train for both explosive and functional strength. Also for the recreational sportsmen and -women Olympic weighlifting will lead to (and require) both physical (Stamina, Strength, Flexibility) and neurological (Coordination, Accuracy, Agility and Balance) adaptations. Long story short, through Olympic Weightlifting you will gain Power and Speed.