The TICK Stack is a set of tools used for data collection, storage and visualization. Docker is a widely-used toolchain for Linux containers that provides several benefits over running software directly on a host machine. The author runs Docker on their desktop and Raspberry Pi, using it to deploy and manage the TICK Stack. To run the TICK Stack using Docker, one needs Docker and Docker Compose installed on their local machine. The author uses official images from the Docker Hub for Telegraf, InfluxDB, Chronograf, and Kapacitor. They create a new Docker network, expose ports, mount volumes, and start containers using Docker Run commands. Docker Compose is used to define and deploy multi-container applications, including the TICK Stack. The author provides an example docker-compose.yml file that defines two services: influxdb and chronograf. They demonstrate how to deploy these services using Docker Compose, access logs, execute commands, and tear everything down. The author also mentions the InfluxData Sandbox, a distribution of the TICK stack with a docker-compose.yml file and helper scripts for quick setup.