In the bowl of your stand mixer add the flour, sugar, salt, and yeast, and stir to combine.
In a microwave-safe bowl combine the water, milk, and 2 Tablespoons of coconut oil, (I used vegetable oil) heat for 1 minute over high power.
Using the dough hook, gradually add the liquid mixture to the flour mixture, add the egg, and knead over medium/low speed for 4-5 minutes; the dough will be sticky.
Place the dough on a clean surface and cover with plastic wrap, let sit for 10 minutes.
In a saucepan over medium heat cook the cherries, corn starch, 1 tsp of sugar, lime zest, and juice for 5-6 minutes, until darkened and soft.
Remove from the heat and let cool.
Preheat your oven to 200º F and prepare a rectangular baking dish with cooking spray.
Roll the dough out into a large rectangle (a little extra flour will keep it from sticking to your counter).
Stir the 1/3 c sugar into the cooled cherry mixture.
Spread 2 Tbs of coconut oil (I used butter) over the dough and top with the cherry mixture.
Starting with the long side roll the dough towards you and pinch the seam to seal.
Slice the log in half and then slice each half into six equal pieces.
Place the rolls into the baking pan, cover with foil, turn the oven off, and place the rolls inside to rise for 45 minutes - 1 hour.
After the rolls have risen, remove them from the oven and set the foil aside.
Preheat your oven to 350º F and bake for 25 minutes, until golden on top.
Remove the rolls from the oven, and let cool for 5-10 minutes.
In a bowl stir together the powdered sugar and lime juice to form an icing.
Spread the icing over the rolls and serve.