Dinny \d(in)-ny\ as a girl's name is a variant of Denise (French), and the meaning of Dinny is "follower of Dionysius". The baby name Dinny sounds like Dinay, Danny, Denny and Donny. Other similar baby names are Vinny, Binny, Sinny, Cinny, Ginny, Jinny, Winny and Minny.