Chopsticks Hickory Cutlery
Hickory Chopsticks are the first AFK activity for the Carpentry Skill. These will persist after logout. This method is unlocked at level 20 and requires one knowledge to unlock.
Crafting them requires a supply of Jars and Hickory Branches. One inventory slot of Hickory Branches will last for one hour of AFK Carpentry.
You can obtain the Hickory Branches from the Log store in Chapter 2 for 4 Silver and 200 Bronze, or trim them yourselves using the Lumberjack skill. You can sell the chopsticks back to the General Store for a small loss.
Note - obtaining a full slot of hickory branches from Lumberjack will take one AFK hour, effectively doubling the Carpentry grind, but training both skills. An additional Knowledge and a tool purchase is required to use this Lumberjack method.