1.20.1- Server Side Only!

This mods lets you chop trees down. You don't need to chop the root, any block will do. The durability of the axe gets lowered for every block that gets broken, enchantments behave as expected as far as I can tell.

Works on all vanilla trees. Every modded log that is inside the Tag for Logs (BlockTags Logs) will work too.
You can switch between 1 log mode and all logs mode by right clicking.

Additionally the mod now notifies leaves to encourage faster decay.

Commands

This Mod provides a few new commands:

Command	Description
/timber toggle axe	toggles the mode (chop all/chop one) of your axe
/timber toggle player	toggles your own mode (changes if you can toggles axes). If this is false, you can still toggle individual axe's modes through the toggle axe command
/timber lock_or_unlock_all_players [bool]	only for moderators (permission level 4) sets [bool] on all players. (changes if players can individually change their axe's mode)

Gamerule

Under "players" a new "true by default" gamerule is added: "enableTimber".
This en/disables the timber mod for all players. Meaning that they cannot mine more than one block if this is false no matter their axe's mode.  

Client Side with custom keybindings

If you'd rather have support for custom keybindings you should check out this.

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This is a Fabric Mod, that also works on Quilt.
  Use with own caution and always backup your worlds before installing mods.