What is special presentation or special clearance?
If you're the beneficiary (i.e. payee) of a cheque and you wish to know as soon as possible whether it will be paid, you can ask your bank to present that cheque specially. The bank then sends the cheque by first-class post directly to the paying bank, contacting them by phone on the following working day to confirm whether it will be paid.
You may not receive the funds any sooner, but you will have the knowledge that the cheque has been paid before the end of day 6.