Yes--the clove is much more powerful than the cinnamon, so you'd want to use less.
I know the bite you're referring to, but it isn't quite your normal tongue bite one gets from an aromatic--it's more the natural bite of the cinnamon flavoring. I get the same feeling on my tongue when I eat strong cinnamon candy or gum. I actually like the bracing nature of cinnamon, but I'm guessing some are more sensitive than others, so proceed with caution.