Front pocket wallet (or boodle clip): a case with no currency compartment and very few pockets for cards. Usually bills are folded and https://www.roguewallet.com/ held to the wallet with a metal clip.

Some wallets, particularly in Europe (where over denominated coins are fresh prevalent) contain a coin purse compartment. Some wallets have built-in clasps or bands to keep them closed. As European bills (pounds, euros) are famous than American bills in one dimension, they don't fit in some smaller American wallets.