Because I desperately need one of the new features of this extension in my work, I have to fork it to release my modified version on the marketplace. See the PR auto-arrange-tabs#5 for details of the new feature. This will not be a long-term maintained extension fork; this repository will be deprecated once the PR is merged into the main repository and a new version of original extension published.
Auto-Arrange-Tabs README
Automatically moves the used tabs on the far left.
Features

Extension Settings
This extension contributes the following settings:
auto-arrange-tabs.millis: The number of milliseconds to move the tab from activation.auto-arrange-tabs.fixTabs: The number of fixed tabs from left side. They don't move when time is reached.auto-arrange-tabs.countPinnedInFixTabs: Whether pinned tabs are counted as part of the fixed tabs. If false, fixed tabs = pinned tabs + fixTabs.
Release Notes
Users appreciate release notes as you update your extension.
0.6.0
Changed so that files with the same name can also be moved.
0.5.0
Change activation arg to milliseconds; allow 0 delay. (Move my tab now!) Thanks @KDPRoss
0.4.0
A pinned tab is now unmoved.
0.0.1
Initial release.