Lure

Lure is a rare special enchantment in Minecraft. Lure shortens the first of the two phases between a cast and a bite. The rod rolls a wait of 100 to 600 ticks, Lure takes 100 ticks per level off that roll, and only when the countdown runs out does the fish trail start its own swim of 20 to 80 ticks towards the bobber. That second phase and the 20 to 40 tick window you have to reel in are untouched.

Its opening level already delivers a noticeable boost (5 seconds off the wait, about 15 seconds per catch), and it climbs from there to a maximum of level 3 (III) on your fishing rod.

Lure tops out at level 3, shown as III on the fishing rod, and the gap between the levels is where the enchantment's character really lives.

Averaged over many casts a bare rod takes 20 seconds from cast to bite, Lure I 15 seconds, Lure II 10.5 and Lure III 7. The step per level keeps shrinking because the subtraction cannot push a roll below zero: at level III every roll between 100 and 300 ticks collapses to nothing, which is 40% of casts starting their fish trail on the next tick.

Lure fits exactly one item (the fishing rod), and nothing else will accept it, so it is a dedicated fishing rod enchantment through and through.

Lure has no exclusivity conflicts at all, so you can layer it onto a fishing rod alongside every other enchantment that fishing rod accepts without having to give anything up.

Lure can be rolled directly at an enchanting table, where the level you pay and the enchantability of a fishing rod together decide which level of it you can be offered, up to III. Should the table prove stingy with Lure, you can instead source the book from loot chest, villager trading and fishing and anvil it on.

Its selection weight of 2 makes Lure a rare roll: it surfaces only now and then on a fishing rod, so you may need to re-roll several times or simply trade a villager for the book.