Hmm, would the accelerometer really detect anything? I think the bullet would have to experience significant lift, otherwise it's in free fall and the only acceleration you'll see after it leaves the barrel is air resistance, which isn't in the right direction to change with each rotation. To a first approximation, spinning bullets don't experience lift.

Maybe there's still some minuscule effect that can be detected, though. The sections on Magnus force in http://www.nennstiel-ruprecht.de/bullfly/index.htm seem to suggest that this is the case. But now I'm not so sure it's as simple as counting the number of periods of oscillation from the accelerometer.

IANAIBOEP (I am not an expert in ballistics or even physics)