Looks like a crystal oscillator to me. Can you read its label? It could be that its solder joints got loose maybe due to a drop or something like that.
@Aurelio I think you are right, that is almost the same sensor found in the Motion Plus accessory.
The pressure-sensitivity may be in a nearby passive component rather than the gyro sensor. Or the gyro sensor sensor has a short in it and pressure somehow relieves it. Either way, I think something is creating an unwanted bridge, maybe between 3.3V and GND.