I found this off of
http://www.annecollins.com/calories/
Campari (1.5 fl. oz) is 120 cal.
Since it is a spirit, I assume it has no fat or fiber ;-)
So the Points value would be... hmm, right between 2 and 3. Take your pick, or round off to 2.5 Points perhaps.
I couldn't find the value for Cynar (an artichoke-flavored apertif from Italy... interesting!)
Other alcohols I found in the WW Complete Food Companion, including gin, rum, scotch, tequila, whiskey, and vodka, were all 2 Points for 1.5 fl. oz (a jigger).
Happy sipping!
Sarah