He's still not in office, and I'm loathe not to get Conduits blessing over character nuts and bolts, but:
https://media.giphy.com/media/ncbdoCpKerEbK/giphy.gif
Asajj's offense does not stack while she is dead, but what was previously stacked is not removed when she dies.
So she retains massive offense boost through death but doesn’t continue to increase the boost while actively dead. Also, if she is “partially revived” from Talzin lead and that attack/assist kills the target, she is currently alive and will stack offense on that kill in addition to staying revived.