Agreed with the above. Most places won't pay in cash. The exception being places where you collect service tips in cash in which case you may get paid in cash. As loaves mentioned, they're also usually dodgy and will probably even try to justify it to employees by saying it helps them avoid tax.
To the OP though, are you sure you have the correct understanding of your bank account's T&Cs? Most banks offer a transaction account (which pays no interest or close to none) and a savings account which pays interest (and sometimes penalising you if you withdraw cash from it- e.g. HSBC). As long as funds are deposited into the transaction account you should be fine.
As others have mentioned if you don't already have an account which allows you to transact normally, then maybe it's a worthwhile idea to get one as you'll no doubt need it in the future.