I'm on what could be considered a variant of it, but to me it's just 'what I eat'.
I make a very conscious effort to avoid bread, pasta, wheat, potatoes etc. and 90% of the time I eat a lot of quality meat (ie. mostly 'whole' meat that I season and properly cook myself) plus quite a bit of salad, broccolli, cauliflower. Plus eggs. Where I fall down is I also eat a lot of processed meats such as salamis and chorizo.
When I combine this with exercise, I find I lose weight and tighten up my body VERY quickly - a particular trick of mine is to exercise around 6pm when my basal is running out and I haven't eaten any carbs all day. My BG pretty much remains static after the workout (even if I haven't eaten since 1pm) so I know I must be metabolising fat.
MY ketone levels are also always really steady - they're always in the 0.15-0.4 mmol/l range so I know I'm in ketosis BUT I've enough basal insulin to avoid DKA.
Where I differ most from all these Paleo diets etc. is I'm not obsessed with it. There are plenty of days where I can't be bothered to start worrying about carbs and sometimes there are social events where it's pointless to start being difficult, I just try to make the smartest choice. Case in point - yesterday we had a works lunch at an Italian place, so I have chicken wrapped in Parma ham with mozzarella with a side salad. Easy. Today, I've got family coming and for the sake of convenience we're eating lasagne. So I'll be eating that tonight, although when serving up I'll probably do it so someone gets the bulk of the pasta sheets other than me. And on Tuesday it was a tough day at work so I polished off a stuffed crust pizza. In other words, yeah, I try to make so-called paleo choices but my diet fits round my lifestyle rather than vice versa. But doing this is actually a lot easier than it sounds because I'm a very savoury person anyway. I genuinely just prefer eating meat and veg than bread and spuds anyway and for the things I really can't do without (noodles and tortillas), there are some really good alternatives out there that make it a lot easier.
So what effect is this having on my health overall? I had some bloods done before Christmas when I was sorta keeping to this diet but had also spent two weeks in Thailand living off beer and rice. My A1c was 7.1%, my total cholesterol was 5.1 mmol/l with a 2.5 split. So I was, in other words, ok-ish. I'm going to be interested to compare these results with what I'll get in six months time as I've now properly got in the habit of doing this sort of thing at least 5 days a week. Interestingly, my body weight has stayed the same but I am visibly thinner - either I'm putting on muscle mass or more fat around my organs. Not sure which, yet.