The Time Out 2 data for the direct edition is in the path "~/Library/Group Containers/6Z7QW53WB6.com.dejal.timeout/", where "~" means your home folder.

The Mac App Store data is in a slightly different path: "~/Library/Group Containers/6Z7QW53WB6.com.dejal.timeout.free/".

Tip: you can copy one of these paths into the clipboard, then use the Go ▶ Go to Folder... command in the Finder to navigate to it.

You can also quickly show the data folder from within the app, by using the Reveal Themes item in the Theme pop-up menu on the Break Appearance page.