To start, one particular part in the Avengers: Infinity War footage provided the best depiction yet of Spider Sense in the Marvel Cinematic Universe.
In Infinity War, however, that debate is fully put to rest.
While it’s possible that he’s had Spider Sense all along and just doesn’t hasn’t known how to control it, this scene is the first time that we have really been able to fully see it in action so far in the MCU.
Specifically, in a sequence that features Thanos crashing down to Earth in a giant spaceship, there is a cutaway to Peter Parker riding on a school bus, and all of the hairs on his arm stand on end, as he clearly feels impending danger in the air.