For weighing an item that is approximately 0.8 grams to the nearest 0.1 gram, you would typically use a top pan balance (also known as a precision balance). Top pan balances are designed for everyday laboratory use and can provide accurate measurements for weights in this range, usually with a readability of 0.01 g or greater, which is suitable for your requirement.
An analytical balance, on the other hand, is more precise and is usually used to measure smaller quantities (often down to the milligram level) with a readability of 0.0001 g (0.1 mg). While it could certainly measure 0.8 g accurately, it may be more than what you need for this specific requirement and is often more expensive and sensitive to environmental factors such as air currents and vibrations.
In summary, for weighing approximately 0.8 g to the nearest 0.1 g, a top pan balance would be adequate and appropriate.