Swelling after a cut is normal. But there is a risk of infection. So you need to keep the cut area clean and put a bandaid or dressing on it, so that it does not bump into anything. If the cut remains dry and does not ooze and fluid or pus, then it is healing normal. It takes 5 -7 days for cut heal. During this time any fever
, increasing redness
or yellow discharge would indicate infection. it needs for a Doctor's consultation.