character animator

For saving changes? Character Animator saves all your changes to a project automatically. If you want to remember specific points in the history of a project, the File > Save Project Version (Command+S / Ctrl+S) will create a new version in the History panel. Think if those project versions as bookmarks into the project's history.

Or if you mean exporting your creations, see the File > Export menu for various commands to export a movie using Adobe Media Encoder, or a single frame of a scene, or a puppet to a file on disk. Via Dynamic Link, you can also drag a Character Animator scene from its Project panel into the Project panel of After Effects or Premiere Pro.

Hope this helps.