
The film is set in the future where genetic mutation allows people to stop aging and live forever, but there's a catch. Once a person is 25 years old they stop aging however they only get one more year to live. So they have to earn time to live longer. Hence time is the new currency, and the amount of time a person has available is displayed on their left hand. This time can be transferred and if one runs out of time a person dies instantly.
The world is divided into time zones based on the wealth (measured in time) possessed by people. The poor live in ghettos and work in factories and only managing to earn time to survive for a day or so. While the rich live in huge cities with centuries at their disposal with many bodyguards to protect them.
When Time is money, there's gonna be theft. There are gangs that steal money from people, a particular one called MinuteMen. Where there are thieves there's gonna be cops, they're called Timekeepers.
This movie is based in this complex time based world. The hero is a factory worker from the ghetto living with his 50 year old mother although she still looks 25. They're living on daily wages with loans to pay, rent etc. One day the hero saves the life of a wealthy 105 year old person from MinuteMen who isn't happy living forever and gives his century long time to our hero and times himself out (commits suicide). That evening his mother is unable to take the bus to get home as there is a hike in the fare and gets timed out just as she meets her son. The hero is completely helpless with a century of time at his disposal but unable to save his mother. He then sets out to Greenwich to disrupt the system.
I'm not gonna include any spoilers so you can watch the movie yourself and enjoy it. You've gotta watch it, before you run out of Time.