Bankers have important rights and obligations regarding their customers. Some key rights include the right of lien, which allows bankers to retain customer goods/securities until debts are repaid, and the right of set-off, which lets bankers adjust debit and credit balances in different customer accounts. Bankers also have obligations like honoring customer checks if sufficient funds are available and maintaining secrecy of customer accounts, though some disclosure is permitted by law or to protect the banker's interests.