^ I disagree. If you revolt during the interturn, after getting a new tech, you have already received your commerce for that interturn, but the game has not yet gone through your towns, producing food and shields. When it does go through the towns, they will be at 100% corruption, and you will not get any new shields added to the production boxes. From carefully microing dozens of anarchy periods, I am pretty certain that this theory matches up with what happens in practice.
A build will finish during anarchy (and even during city revolt) under exactly the same situation as under any other government; the production box must be full after the game has done the shield-harvesting phase of the interturn. Of course, during anarchy and revolts, you get 0 shields net during shield harvesting, but there are other ways of making the shield box full: rush shields into the box (anarchy allows neither whipping or buying, but that still leaves chopping, leader rushing, disbanding and recycling), reduce the size of the shield box by changing the build, or have a full box left over from the turn before (i.e. a worker or settler unbuilt because there was insufficient population).