After I read a whole bunch of related threads, I tried a couple of the suggestion and here are the results.

If I turn off the "Audible Lead-In" and just do a visual lead-in .............. no "click".

If I turn the "Audible Lead-In" back on and change the "Lead-In Type", I get whatever I change it to. For example, if I change it to "A Pattern Then Fill", I get the first beat of that pattern for the last "click/noise".

I guess that boils it down to a problem with the "Count-in/Met??

JimE