Drain the cherries and reserve the juice. If they have stems, remove them.
Divide the maraschino cherry liquid evenly among 10 popsicle molds or small Dixie cups. Place 3 or 4 cherries in each mold.
Combine the lemon and lime juice with the honey, maple syrup, or agave. Add the club soda and stir to take out some of the fizzing. Pour the mixture into the molds, insert popsicle sticks and freeze for 2 hours or until frozen solid.