Place can of coconut milk in the fridge overnight.
Line 8" x 8" baking dish with parchment paper leaving overhang. Place glass bowl and mixer beaters in the freezer.
In a small food processor or powerful blender, process corn flakes until finely ground. Add to a medium bowl along with coconut oil, 3 tbsp honey and vanilla extract, and mix well with spatula until combined. Mixture should be crumbly sticking together into big lumps.
Transfer to previously prepared baking dish and level evenly with spatula not missing the edges. With a bottom of a glass or large measuring cup, press crust down to pack tightly. Place in the freezer while you are making the filling.
Open can of refrigerated coconut milk and scoop out white cream into chilled bowl. Refrigerate clear liquid separately and use in smoothies etc. It doesn't matter if some clear liquid got mixed a bit with cream.
Beat coconut cream with a hand mixer for a few minutes. It doesn't have to get thick and fluffy as a whipped cream, and thickness will depend on how well coconut cream separated from clear liquid. Add lime zest, lime juice and 3 tbsp honey, and beat until well mixed. Pour on top of previously prepared crust and level with spatula. Freeze for at least 2 hours.
Holding onto flaps remove bars from the baking dish, place on a cutting board and cut into 16 squares using sharp long knife (wipe with towel in between cuts for clean look). Serve frozen or a bit thawed.
Notes
Store: In a freezer in an airtight container for up to 3 months.
I recommend using Thai Kitchen, Trader Joe's Coconut Cream or Compliments canned coconut milk with creamy consistency. I wouldn't use international brands because it is grainy and does not mix well.
Thawing time depends on how much clear liquid got into the filling. This time for some reason coconut milk didn't separate well so squares were soft straight from the freezer. The other time, same brand of coconut milk separated well and I had to thaw bars for around 10 - 15 minutes.