INGREDIENTS
1 ltangerine's peel, finely diced
1 cup water
1/2 cup sugar
1/2 cup tangerine juice
1/2 cup carbonated mineral water
6 strips of tangerine zest, for garnish

DIRECTIONS
In a saucepan, stir together the diced tangerine peel, 1 cup of water and sugar. Bring to a boil, then reduce heat to medium and simmer for 5 minutes. Remove from the heat, and allow to cool.
In a pitcher or bowl, stir together the tangerine syrup with peel, tangerine juice and mineral water. Pour into an ice cream maker, and freeze according to the manufacturer's instructions. Garnish each serving with a twist of tangerine peel.
If you do not have an ice cream maker, you may freeze it in a tall canister. Freeze for 1 1/2 hours. Remove and stir with a whisk. Return to the freezer and stir about once every hour for about 4 hours. The more times you stir, the more air will be incorporated, resulting in a lighter finished product.

http://images.allrecipes.com/site/allrecipes/area/community/userphoto/big/15497.jpg
Source(s):
allrecipes.com

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I used to do this all the time when I was a kid, yummy and healthy, If you do not want any sugar or dairy then you probably don't want honey since that is basically sugar, I used to add vanilla extract it gave it a slight hint of those creamsicles, no need for complicated equipment, just squeeze tangerines, add vanilla and freeze, this is so simple and it is so good!, If you want to make it one step more complicated, as it just starts to freeze stir it up, then stir it up every 15 minutes, this kind of gives it a more sorbet texture but you really can just freeze it and eat it. I remember putting this on toaster waffles in the morning when I was a kid, there is something magical about the combination of vanilla extract and tangerine. Enjoy!

PS. No need to use water. if it is too sweet then use a little club soda to dillute it will also give it a fluffier texture
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