Can you please describe you problem more detailed.
Also please mention you Chrome version and TabsOutliner version (can be seen in about window, after pressing ''i" icon).
There was some broken TO versions which was not save own data at all between restarts, on old Chrome and Chromium (prior v20), this affect mostly Linux users. This is fixed already (from v 0.4.27), but you might have this old and broken Tabs Outliner because of disabled extensions auto-update (as it is the case for most Linux users).