Monitor the child. Since chap stick is not poisonous, unless a lot was eaten, it should not hurt the child and if the child ate alot call Poison Control Center right away. Leave medcine away from infants and young children. My own oppinon is no children too young should use it.
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If a baby ate chap stick it would have a reaction and grow into the hulk then it would attack the planet and kill everyone. So don't let babies near chap stick.
P.S. It would have a dick like Jesus
"For external use only and should not be allowed to come into contact with the eyes and the mucous membranes."
"If large amounts are swallowed accidentally, this may cause vomiting, diarrhea, CNS stimulation and convulsions. Symptomatic treatment should be provided."
Sounds like you should consult a health care professional.