You can have more than one wallet address in the Uniswap Wallet app.
This works because one recovery phrase can have multiple wallet addresses. You are able to swap, send, and receive from every single wallet address attached to your recovery phrase. Each wallet you create has its own unique address.
Note: The Uniswap Wallet can only store one recovery phrase at a time. Each wallet created in the app will be tied back to your recovery phrase.
How to create a new wallet in the Uniswap Wallet:
Open the wallet selection menu.
Select “Add Wallet”.
Select “Create a new wallet”.
Give your wallet a nickname, then select “Create Wallet”.
Select “Turn on notifications” (recommended).
Congratulations, your new wallet is ready!