Cut the pineapple into 1-inch chunks if using fresh fruit.
Place pineapple chunks and rosemary sprigs in the pitcher. Add honey and muddle gently to release the flavors.
Pour in the cold water and lime juice. Stir until honey dissolves completely.
Cover and refrigerate for 2-4 hours to let flavors infuse.
Remove rosemary sprigs and strain the mixture to remove any pulp.
Fill tall glasses with ice cubes. Pour the infusion until glasses are 3/4 full.
Top with club soda and stir gently.
Garnish with fresh rosemary sprigs and pineapple wedges.
Notes
The infusion keeps fresh in the refrigerator for up to 3 days.Replace honey with agave nectar for a vegan version.For a stronger rosemary flavor, let the mixture infuse for up to 6 hours.Frozen pineapple can replace fresh fruit when needed.Make ice cubes with the infusion to prevent dilution when serving.