What is the name of the gear ability that reduces respawn time?

The gear ability that reduces respawn time is Quick Respawn.

Quick Respawn shortens the time a player waits after being splatted, making it especially useful for aggressive players who frequently contest objectives. It does not prevent a splat; it simply helps the player return to the battle sooner after one occurs.

Gear abilities are attached to headgear, clothing, and shoes. Players can build a loadout by combining the abilities on their equipment, allowing them to emphasize mobility, ink efficiency, survivability, or recovery speed. Quick Respawn is therefore part of Splatoon’s customization system rather than a weapon or a special attack.

A frequent mix-up is confusing Quick Respawn with abilities that improve movement or ink use. Swim Speed Up makes swimming through friendly ink faster, Ink Resistance Up reduces the impact of enemy ink, and Sub Power Up improves the performance of sub weapons. Quick Respawn is specifically about the post-splat wait, and its benefits are most noticeable when a player repeatedly re-enters fights.