It's normal for dogs to splash water around when they drink. Especially if the bowl is not very deep and the dog is small. To solve the problem, you can put the bowl on a mat. You may think your dog drinks too quickly, but actually dogs just drink differently from us. There is nothing to worry about. Puppies are very agitated, especially if they are thirsty. Don't leave them without water! Make sure they always have a bit of water and that it's not too cold.