Not for absorbing more CO2 than the CO2 originally released from the limestone (in fact, mainly for a lot less). Also, that does not include the probably still more CO2 released from the fuel used to heat the limestone to produce the cement.
And if it was a grade of cement that could be damaged by taking up CO2, then that damage would entail the use of far more CO2, doing whatever turns out to be necessary to make good the damage.
Just to cheer you up!
Jon