Wash the tomato, cucumber, celery, and lime under cold water.
Quarter the tomato and cut the cucumber into strips.
Cut the celery into chunks and slice a small piece of lime.
Place the tomato, cucumber, celery, and lime slice into the juicer and run them through according to the manufacturer's instructions, extracting all the juice.
Strain the juice to remove any pulp and obtain a smoother consistency.
Pour the fresh tomato-cucumber cooler into an 8-ounce glass and serve immediately.