Well ..... In all the years I've been tuning SASS Guns and Single Actions in general, I've never been asked for ...... Clicks. Smooth, fast, light, stuff like that but not .... Clicks.
The clicks you describe are caused by the Trigger snapping against the hammer as it passes over the ledge for: 1 - the Safety notch, then the Half Cock or Loading notch, then the Bolt Rising, and Full Cock ledge. Sometimes the Bolt Rise and Full Cock are reversed. The loudness and or sharpness of the Click is a product of the trigger coming off the ledges as powered by the Trigger/Bolt spring. The sharpness of the sound is dependent on a clean departure from the ledge (sharp edge) and a potent Trigger/Bolt spring. Mostly on the spring. Same applies to the Bolt snapping up into the lead.
Now, the Trigger/Bolt spring is about 30% of the hammer draw weight and normally when a gun is tuned for CAS we reduce the T/B spring to reduce the hammer draw resistance. The main spring is also reduced.
So .... To get those nice snappy clicks, the hammer ledges need to be sharp and you need a "heavy" Trigger/Bolt spring. You will also give up some of a light hammer draw. This will also serve to increase the wear on the hammer ledges, the trigger sear, the Bolt and the bolt notches in the cylinder.
All you need is a small "safe side" file, a machinists square and some heavy T/B springs. Plus, for 4 distinct "Clicks" the timing needs to be spot on.
DO NOT remove a lot of metal from ANYTHING or you'll be buying lots of shiny new parts.
Coffinmaker