Add heat the sugar and water in a small pot over medium heat until all sugar dissolves. Remove the syrup from the heat. Add the honeysuckle flowers. Steep for 20-30 minutes - just until the flavor is infused. Strain and bottle the syrup. Refrigerate any leftover syrup and use within the week.
To make the limeade...
Combine all ingredients in a pitcher and stir. Taste for sweet/tart balance. Adjust with additional lime juice or simple syrup to suit your taste.
Chill or serve over ice.
Notes
NOTE: Not all honeysuckle varieties are edible and safe to eat. Do your research before adding honeysuckle or anything to your diet.