Hey there mint berry!
I currently have acne and scars I'm hoping to heal and have been on the high carb low fat lifestyle for roughly a month now. I can tell you it's helping a lot! You can't expect drastic results overnight because it does take time to clear your body of the toxins that are causing the acne. I don't eat overt fats except maybe some avocado once a week, but if you track your intake on cronometer you'll see even the raw foods you're eating have fat! Fruit and veg does contrary to the misconception it is fat free!
Why is this so important tho? So if you're eating like...coconut oil for example it's just pure fat thats been stripped of its fiber and other nutrients so it isn't used as effectively in our bodies. Also a build up of toxins from our previous diet's take time to clear out...think about it, for myself I ate animal products for 22 years before I went vegan, so those toxins aren't gonna leave over night. Also before I went hclf I was eating a high fat, high sodium vegan diet but with lots of mock meats and fried foods, very little fruit and veg (i know wtf haha)
SO, i hope this helps...but if you're eating pure clean fuel your skin is gonna catch up, just give it time! Remember to eat a lot of hydrating foods like watermelon and cucumber, drink a lot of water, get enough sleep (8-10 hrs) and sweat it out with exercise! Good luck