'To set off,' could mean to trigger something, like an alarm. Example: The burglar set off the alarm by breaking the window.' It could mean to cause something, like an explosion. Example: The timer set off the bomb. or Mixing of the liquids set off a chemical reaction. Another meaning of 'to set off,' is to leave. Example: Emma and Rob set off for New York - meaning they left for New York. 'To set off,' could also mean to make angry. Example: 'Their bad driving set me off.' As you probably noticed, it all depends on context. Perhaps you were thinking of an example?