A dream where you are cut or have a cut can suggest that things are not going to plan in some area of your waking life, or someone is being a nuisance.
If you cut an object in the dream then it can suggest that there is something or someone in your life that you can do without. On the other hand, if you are cutting yourself in a dream then this may imply that you are facing issues or going through turbulent times in your life.
If you see someone else being cut in a dream then this may imply that someone in your waking life is not being as open with you as you would like.
To have a cut on your leg in a dream may imply that you need to be more self-sufficient, or there is some kind of imbalance in your life.