I generally carry a small trauma kit, and have everyone on the trip carry one and ideally be trained in its use. In addition, I carry a general first aid kit for the cuts and scrapes and illnesses endemic to the area. Every person will carry a small personal kit and I carry a more substantial one for larger injuries, medication and longer term care. The intent is to treat and keep them alive until they can be evacuated, not as a permanent care scenario. One of the best first aid tools may be your cell phone or satellite communication, if it is serious.

In a field environment I would certainly ensure that a wound is kept clean, which is more important than covering it. If clean, however, a good wound closure speeds healing, if you can keep it clean. Protecting the wound from contamination or further injury is important.

A good reference for field medical care is:

Ditch Medicine