Monday marks the season finale of Bravo’s half-hour comedy “Odd Mom Out,” which skewers the ridiculous shenanigans of the very rich on the Upper East Side. Despite the fact that she still mills about socially with the ladies and gentlemen she pokes fun at, Jill Kargman, the show’s star and creator and the daughter of former Chanel president Arie Kopelman, said that so far, none of her targets has taken offense.

“We were bracing ourselves because the show is not so politically correct, but people are high-fiving me on the street,”...