Staying safe at a Serengeti camp mostly comes down to following a short list of rules that staff repeat for good reason: never walk between tents after dark without an escort, and never approach or feed any animal you encounter.
Camps are typically unfenced, which is deliberate, allowing wildlife to move through naturally rather than being kept out. Askari guides carry torches and walk guests to and from the dining area at night specifically to manage this safely.
Inside your tent, keep the zip fully closed at all times, even briefly, and don't leave food or strongly scented items like toothpaste out, since these can attract small animals looking for an easy meal.
On game drives, the vehicle is your safety zone. Animals generally treat a vehicle as one large, unfamiliar shape and keep their distance, but standing up or reaching out changes that entirely, so guides ask guests to stay seated unless told otherwise.