Afternoon tea is served daily at 2pm and 4pm (plus a noon sitting at weekends) and costs £31.50pp, or £38.50pp with a glass of bubby: book on 020 7420 2669. You've got until December 15, when the Savoy closes for a 16-moth, £100 million refurbishment.
It seems that 16 moths can do a surprising amount of damage...