More DETAILS, please!
So, to start, let's define what a Paleo -ish diet is, typically.
PALEO-ISH
Paleo is a diet based on the types of foods presumed to have been eaten by early humans, consisting chiefly of meat, fish, vegetables, and fruit, and excluding dairy or grain products and processed food.
Paleo truly means eating high quality foods...organic when possible...grass-fed when available...real, whole food all the time.
Now, you'll notice that #10 says no dairy except butter and possibly heavy cream. That's where my "paleo-ish" statement comes in. I've always eaten dairy until recently. I encourage you to continue eating dairy unless you want to drop it. Making lots of alterations to your life all at once can be overwhelming. Allowing cheese, cream cheese & heavy cream will make finding recipes MUCH easier, and help keep family members from going mutinous on you! You should still be able to lose weight, gain health & feel great. If you end up have difficulty losing the weight, or you get into a "stall", you can always opt to ditch dairy later.
Now you know what the "Paleo-ish" part is, so let's explore LCHF more intimately.