Literal running:
* Running late: Being behind schedule.
* Running a marathon: Participating in a long-distance race.
* Running errands: Going out to complete various tasks.
* Running out of time: Having insufficient time to complete something.
* Running on fumes: Being exhausted or close to giving up.
* Running the show: Being in charge of something.
* Running water: Water that flows freely from a tap.
Figurative running:
* Running rampant: Spreading uncontrollably.
* Running wild: Behaving recklessly.
* Running circles around someone: Being much more skilled or intelligent than someone else.
* Running scared: Feeling fear and anxiety.
* Running a tight ship: Maintaining strict order and control.
* Running interference: Protecting someone from harm or criticism.
* Running a temperature: Having a fever.
* Running the risk: Taking a chance of something negative happening.
Idioms:
* Run into: To encounter someone unexpectedly.
* Run for it: To flee quickly.
* Run out of steam: To lose energy.
* Run the gamut: To experience the entire range of something.
* Run like clockwork: To function smoothly and predictably.
Other phrases:
* Cross-country running: A type of running that involves navigating various terrains.
* Track and field running: A sport involving various running events.
* Running commentary: A live description of an event as it happens.
* Running gag: A repeated joke or humorous element in a film or play.
This is not an exhaustive list, but it provides a good starting point for exploring phrases with the word "running."