Natural foods like honey, vinegar, yogurt all have good properties, and they may make a small difference for the better, but they probably are not going to heal entrenched cheilitis if it is caused by any of the typical reasons (fungus, bacteria, virus, lip licking or biting, allergic reaction, hypothyroidism, vitamin imbalance, cancer).
There are 61 posts on the Peeling Lips forum where people have talked about vinegar in the past. I'd suggest you take a look:
There is a storehouse of knowledge on this forum in the past 6 years of postings - have a read-through or use the search box if you are looking for ideas, or want to see how others have fared with possible treatments that you are considering.
As recommended on the Earthclinic website, I ingested apple cider vinegar, molasses, and coconut oil daily for a couple of months this summer. It didn't help my cheilitis.