Mix the coconut milk, cream, water, honey and flakes in a bowl. Whisk well.
Place the bowl in the refrigerator for at least a few hours to chill.
In an ice cream maker, as per the manufacturers instructions, add the coconut mixture and run for 20 minutes. The sorbet should be creamy and more like a sorbet.
Once done remove the sorbet from the ice cream maker and place into containers. Then freeze. To serve, warm a bit, until sorbet consistenty and serve.