Elicit is a verb that means to evoke or draw out a reaction or response from someone.
Example: She was trying to elicit a confession from me.
Illicit is an adjective that describes something that is illegal - not permitted by laws, rules, or customs.
Example: They were selling drugs at the concert. Those are illicit activities so they were kicked out of the venue.
How to remember? Illicit and illegal both start with the letter i.