Answers by TheMediTary.Com - Last updated: 09-Aug-2023
Yes, that's fine for a dry annoying cough. It would not be recommended for a productive cough. The recommended dose is : "children 4 to under 6 years of age 2.5 mL every 12 hours, not to exceed 5 mL in 24 hours"
https://www.drugs.com/dosage/delsym12-hour-cough-relief.html