What can i put on my lip to make the cut heal faster ?

If just a crack...: If the cut is tiny, just a crack in the lip, then many people find it helpful to just use some facial lotion or hand lotion around and on the lips, basically to prevent them from drying out. A "cut" means different things to different people, so if it is more than just a superficial crack in the lip, one's primary care doctor should examine it and make recommendations.