To keep pincher-like bugs, such as beetles or mites, away from your rabbit's cage and hay, you can follow these preventive measures:

1. Store hay properly: Ensure that the hay is stored in a clean, dry, and sealed container to prevent bugs from accessing it. Avoid storing hay in areas prone to humidity or dampness.

2. Regularly clean the cage: Clean the rabbit's cage and surrounding area frequently to remove any potential hiding spots for bugs. Wipe down surfaces and vacuum or sweep the area to eliminate debris.

3. Inspect hay before use: Before giving hay to your rabbit, visually inspect it for any signs of bugs or mold. Remove any contaminated portions and only offer clean and fresh hay.

4. Freeze hay: If you suspect the hay may have bugs, you can freeze it for a few days before using it. Freezing helps kill any existing insects or eggs present in the hay.

5. Use bug-repellent herbs: Some herbs have natural insect-repellent properties. Placing dried herbs like lavender, mint, or rosemary near the rabbit's cage or in the hay can help deter bugs.

6. Maintain a clean environment: Keep the area around the rabbit's cage clean and free of food debris. This reduces the likelihood of attracting bugs.

7. Consider natural bug repellents: You may explore natural bug repellents that are safe for rabbits, such as diatomaceous earth. However, consult with a veterinarian before using any products to ensure they are suitable for your specific situation.