Another example of תחום שבת is found as part of the Yom Kippur service. It was related to the שעיר לעזאזל, the scapegoat sent to carry out the sins of the people.
The person designated to take the scapegoat and throw it off the cliff, needed to travel a very great distance (some say as much as ten kilometers out of Jerusalem.) Every 2000 אמות which was the same as תחום שבת,had a Succah waiting for him. They offered the messenger food and water in case he felt faint.
The Gemara in Yoma says that he always refused the offer. In total, there were ten Succot waiting after each 2000 אמות. When he reached his destination and threw the goat over the cliff, and saw the red ribbon turn white, he completed his assignment.
He remained in the last Succah until the end of the fast.