Finally There is a REST Web Service Extension for TYPO3
January 28, 2019
TYPO3 doesn't have any REST service capabilities in a default installation. I also haven't seen any extensions that offer REST services until now.
A stable extension called REST provides REST capabilities for TYPO3.
The official web site for the TYPO3 REST plugin provides links to documentation and a tutorial to get you up and running with your own TYPO3 REST web service.