Agility is the hability to change the position of your body. It requires a combinaison of balance, coordination, reflex and strength. You can see it as time response.
Precision is an important element when we talk about agility. It means accuracy and generally is used in the sense of exactness in th the projection of a force. Precision is made up of controlled body movements. These movements should eventually be executed with a minimum amount of strength and exertion, while still achieving the desired result. Both beginner and experienced fighter should put a considerable amount of practice and training in precision. A mirror is a good help by providing a constant check on posture, hand position and technical movements.
Do not skip your footwork drills because mobility play a big part of the game.
“The essence of fighting is the art of moving.” Bruce Lee