Chebet -- nicknamed "the smiling assassin" -- bided her time before accelerating past compatriot Faith Kipyegon down the home straight to take gold in 14min 28.56sec at the Stade de France.
Kipyegon, the reigning 5,000m world champion, crossed the finish line in second place but was swiftly disqualified for a shove in the closing laps.
That ruling saw Dutchwoman Hassan moved into the silver medal position with a time of 14:30.61 while Italy's Nadia Battocletti took bronze in 14:31.64.
Hassan, 31...