The bancor wallet is a standard ethereum blockchain wallet. As such, you will have the option to use is on every supporting interface that allows you to access the blockchain using your wallet.
When you download the wallet keystore file, you will have a secure wallet file saved in a secure way protected by the password indicated upon creation. This will allow you to access your wallet in the future and use any service you wish to do so.
The wallet keystore file is a password protected version of your private key or 12 words mnemonic phrase.
We at bancor suggest you save your wallet keystore file in a secure way and use it only with secure services you know and trust.
You can find the option to download your keystore file in your wallet, under the gear icon. Read more on wallet settings, here.