What are you using to cut the part? The device used will help determine the cut 'quality'.
For example, a band-saw will leave burrs, a cut-off saw will leave a burr on the 'bottom edge', etc. With everyone else's answers, I assume this is a specific requirement that I am not aware of (so take my advice knowing I do not know the process you are performing).
I work in metal (steel, brass, and aluminum). When I have to cut a part in 1/2, I use a manual milling machine and a sharp end-mill (the end-mill is the key, if dull, it will create lots of burrs). I also have the teeth of the end-mill exit the part on the side or surface I am not checking. Then I lap the part.
This does a couple of things, I minimize the burr and I cut the part in 1/2 within about +/- .001. If you are measuring parts, when you cut in 1/2, there is some error on angles the further from 1/2 you are. Generally speaking the error is not bad even at +/- .010 but I try for perfection simply to remove the question mark.