What is the safest, most effective way to cleave through thick bone? While I was preparing bones for chicken stock today, I was rudely alerted to the fact that my cleaving technique was inadequate for bone-cutting when I nearly chopped off my left thumb.  Fortunately my reflexes were quick enough such that I got away with only a cracked thumbnail and what felt like two simultaneous heart attacks.

I know that it's a supremely bad idea to have a hand anywhere near the cutting area when "hacking" with a cleaver.  However, my work area is small, and the chicken does not really have a flat surface to rest on, and attempting to just hack one-handed would (and did) result in flying chicken shrapnel.

Is there a technique I can use for cutting through bone that is safe and precise?

(Related: How to cut a cooked chicken, including the bones, with a cleaver?  That question, however, deals with cutting an entire chicken, which, unlike my scenario, doesn't require chopping through some of the thickest parts of the bone; most of it can even be done with a kitchen scissors.)

(Note - I did manage to solve this one myself after doing some digging, and will post my own answer, but I welcome other suggestions/techniques as well.)
The most reliable technique I found was the following:


Hold the cleaver in your left hand (assuming you are right-handed);
Press the cleaver from the top with your right hand to make a slight indentation into the bone, in order to maintain a stable hold for the next step;
Use a wooden mallet to pound the flat (top) end of the cleaver, again with your right hand.


This is completely safe and doesn't require precise aim.  Usually even the thickest bones can be cleaved through completely with 2 or 3 hard whacks from the mallet.