A "topical anesthetic" is a type of numbing medication that is applied to the surface of the skin or mucous membranes to temporarily reduce pain or discomfort. Full definition
Kept doctor's instruments disinfected and laid out for use at all times and assisted with procedures — Handed tools, used suction and swabs, applied topical anesthetics, removed stitches, and prepared temporary crowns. (job-interview-site.com)
Even with topical anesthetic, it was quite painful, and I was sore for about a week afterward. (fullhealthsecrets.com)
Methemoglobinemia: A Rare Entity Caused by Commonly Used Topical Anesthetic Agents, a Case Report (thejh.org)