Yes, Benzonatate is used to relieve cough. Benzonatate is in a class of medications called antitussives (cough suppressants). It works by reducing the cough reflex in the lungs and air passages. It is taken by mouth. Use is not recommended in those under the age of ten. Effects generally begin within 20 minutes and last up to eight hours. Side effects include sleepiness, dizziness, headache, upset stomach, skin rash, hallucinations, and allergic reactions.

Ref: Medline Plus