In Fallout 1, the Brotherhood of Steel in Lost Hills can perform an operation to permanently increase Agility by 1, assuming the player can afford it.
Other skills rely on it, but these have higher values in AG investment. It is a critical stat for anyone interested in more mobile and visceral skills, such as unarmed and small guns. Additionally, it allows the character to dodge better. Therefore, a character that wishes to keep an enemy on its toes, or claws, needs to have a high Agility in order to have multiple combat moves.