You go through time in the game. (Chrono = time), and at several points in the game you are in a time traveling machine (machine = trigger).
Its just a catchier name than say Time machine.
Chrono Trigger
Game » consists of 22 releases. Released Mar 11, 1995
Take control of the lovable but silent protagonist Crono in this time-spanning collaborative effort from Squaresoft's "Dream Team." Chrono Trigger follows the exploits of Crono as he and his friends attempt to save the world from a planet-devouring alien creature.
Why is it called that?
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