Btw I do have 2 interrupts enabled in the accelerometer, Double Tap and Threshold, could that be the reason? It should not be but its not mentioned in the datasheet either.
I've seen the other (older) thead, however the schematics there looks messed up.
Are you sure you are measuring the current through the sensor alone, excluding power supply and bus logic ?
Are you sure your ampere meter is appropriate for such low currents ?
AFAIK, the LIS3 sensor has no permanent storage, and goes into standby after a power cycle. Interrupt functionality is supposedly not enabled at that time.
Not sure about the INT pins and the external circuitry, which might draw some current in this state.