Yes, it is generally a good idea to cover pudding when storing it in the fridge. Covering the pudding helps to protect it from absorbing any odors from other foods in the refrigerator and prevents it from drying out. It also helps maintain the pudding's texture and prevents a skin from forming on the surface.
To cover pudding in the fridge, you can use plastic wrap, aluminum foil, or an airtight container with a lid. Make sure the cover is tight-fitting to create a barrier between the pudding and the surrounding air, which will help preserve its freshness. If you are using plastic wrap, press it directly onto the surface of the pudding to minimize air exposure.
Properly covered, homemade pudding can typically be stored in the refrigerator for 2 to 3 days, while store-bought versions might have specific instructions on the packaging. Always follow any guidelines provided by the manufacturer or recipe to ensure the best quality and safety. If you notice any signs of spoilage, such as off smells, unusual textures, or mold growth, it's best to discard the pudding.