winky-dink- a-dinky-doodle means: This isn’t profanity, contrary to what you might think. It does not refer to any body part. winky-dink-a-dinky-doodle is a representation of sounds that one can use to apply to any form of music or song where the lyrics have been forgotten. Or simply singing along with an instrument’s part. This phrase is especially useful for Ragtime and home-cooked Jazz. Ragtime, which is its oldest living relative, may be the most important. (in Community Dictionary, added by Kaden Stuart)
