Preheat the cupcake maker until the ready light switches on.
Using an electric mixer, cream the butter, sugar and honey until thickened and lightened in colour, approximately 4 minutes.
Add the egg and beat well. Fold through the flour, banana, cinnamon and milk until just combined.
Spoon a tablespoon of cupcake mixture into each mini cupcake well and close the lid and cook for 8 minutes.
Turn the mini cupcakes out onto a cake rack and cool.
To make the icing, cream all ingredients using an electric mixer for 3 minutes or until the sugar has dissolved completely. Evenly distribute over the cupcakes and serve.