First, even if it was a cutoff, that is too small a piece to cut off between the fence and the blade. For small pieces, you are best off to use a cross cut sled equipped with a toggle clamp to hold the stock in place and keep the fence away from the cutoff piece.
** I agree with you on all points here. However, I have been stupid in not making or even buying a sled. I am really a dolt on that issue.**
Second, always stand to the left side of the blade so any piece that is cut off that may decide to become a missle will miss you if the blade catches it. In other words, it is safer to let it kick back than to try to retrieve it (Mother Nature makes more wood, but she isn't very good at making new digits).
** I know it might be hard to picture but I was standing to the left of blade. The piece I was trying to move was also on the left of the blade but behind the blade. I didn't know what it was going to do so I hit the power button and tried to move the piece at the same darn time. **
Third and foremost (this applies to your tablesaw, a bandsaw and a table router), never reach over or around the cutting blade or bit while the tool is running. Always wait for the blade/bit to stop before any retrieval.
** Got it...now!**