Cats may bite for a variety of reasons, and it is important to try to understand the underlying cause in order to address the behavior and prevent future bites. Some potential reasons why a cat may bite a person’s cheek include:

1. Playfulness: Cats may bite during play as a way to engage with their human or feline companions. This type of biting is usually accompanied by other playful behaviors, such as pouncing or batting at objects.
2. Fear or anxiety: Cats may bite as a way to defend themselves or express their fear or anxiety. If a cat feels threatened or overwhelmed, they may bite as a way to protect themselves or signal that they need space.
3. Overstimulation: Cats may also bite if they become overstimulated during petting or play. If a cat begins to feel overwhelmed, they may bite as a way to signal that they need a break.
4. Pain or discomfort: Cats may bite if they are experiencing pain or discomfort, such as from dental issues or an injury.
5. Territorial behavior: Cats may bite to assert their dominance or defend their territory, especially if they feel that their territory is being threatened by another cat or animal.

To prevent a cat from biting, it is important to understand the underlying cause of the behavior and address it accordingly. For example, if a cat is biting due to playfulness, it may be helpful to provide appropriate toys for them to play with and redirect their biting behavior towards these toys. If a cat is biting due to fear or anxiety, it may be helpful to provide a safe and secure environment and seek the help of a behaviorist or veterinarian. It is also important to avoid rough play or handling that could stimulate aggressive behavior, and to pay attention to the body language and signals that a cat may give when they are feeling overwhelmed or uncomfortable.

In conclusion, there are several potential reasons why a cat may bite a person’s cheek, including playfulness, fear or anxiety, overstimulation, pain or discomfort, and territorial behavior. To prevent a cat from biting, it is important to understand the underlying cause of the behavior and address it accordingly. It is also important to pay attention to a cat’s body language and signals, and to provide a safe and secure environment.