Dangle means to hang or swing loosely. If you dangle string above a kitten you will both be entertained.
The verb dangle probably comes from a late 16th century Danish or Swedish word meaning “loose or pendulous,” though we don’t know for sure. You may have a taste for big, showy earrings that dangle. Or, you might even dangle a possibility — "If you were to dangle the prospect of dessert to a child, then you better follow through!"