"Darling, Je Vous Aime Beaucoup" is a popular song with words and music by Anna Sosenko in 1935.
[1] The stranger on the balcony in Bob Dylan's and Jacques Levy's song "Black Diamond Bay" from the 1976 album "Desire" says “My darling, je vous aime beaucoup” to the female character.
When the song was written, "je vous aime" (using the respectful second person plural) was the normal way of saying "I love you" in French - until a threshold of intimacy had been reached, or in public.
It has come to sound quaint, as now one would normally say "je t'aime" (using the familiar second person singular), regardless of the level of intimacy or location.
"Compris" (or "compree" as it is sometimes phonetically spelled in printed lyrics) means "understood."