I've had this for years. I tried many things: leaving the lips alone, taking care of them, all kinds of gentle, soothing balms, etc. Nothing worked. There seemed to be an innate cycle the skin was going through that wasn't affected by anything I did. Granted, I never left the lips entirely alone for a year (meaning, I never refrained from so much as just touching them for an entire year). But I did go through long periods of time where I didn't tug, pull, peel, or otherwise bother the skin, and certainly at least no more than other people who occasionally lick their lips when eating or brushing their teeth. Nothing.
I've had this since I was 12; I'm now 47. I've gone to numerous doctors and specialists in the past, and no one ever mentioned the phrase "EC". So here I am, still struggling with this, but I think I found something that works pretty well for ME. I'm going to post it on a new thread, but I'll also write it here.
For the past two months, I've been drinking water like crazy, keeping myself ultra-hydrated. I've also been eating many more vegetables and fruits than ever before. I base my diet on vegetables, with a little protein and natural carbs thrown in. I've cut down on white flour, sugar, processed carbohydrates. And I've started to liberally use Lubriderm's Intense Skin Repair Ointment. Yes, it has petrolatum in it, but way down on the ingredients list. The active ingredient is glycerin.
My lips have almost entirely stopped peeling. The affected skin seems to have regained some of the old elasticity it once had. The seemingly-endless cycle seems to be have been interrupted. I waited two months before posting this on this site, because I didn't want to get my (or anyone else's) hopes up. I'm also not sure what would happen were I to stop these behaviors. But I am continuing to use the ointment (applied often throughout the day) and maintain good eating/drinking water habits. I'm not sure which aspect is working, or whether it's the combination of behaviors, or whether it was just "my time" in the mysterious life cycle of this condition. All I know is that I haven't had such smooth, healthy-looking lips in 35 YEARS.