UK guidance from the Manual of Air Traffic Services Part 1
14 Cancelling Take-off Clearance
14.1 If, for any reason, take-off clearance has to be cancelled before the take-off run has commenced, the pilot shall be instructed to hold position and to acknowledge the instruction. If the aerodrome controller considers that it is necessary to cancel takeoff clearance after the aircraft has commenced the take-off run, the pilot shall be instructed to stop immediately and to acknowledge the instruction.
14.2 The cancellation of a take-off clearance after an aircraft has commenced its take-off roll should only occur when the aircraft will be in serious and imminent danger should it continue. Controllers should be aware of the potential for an aircraft to overrun the end of the runway if the take-off is abandoned, particularly in the case of a large aircraft or when the runway braking may be adversely affected. Because of this risk, even if a take-off clearance is cancelled, the commander of the aircraft may consider it safer to continue the take-off than to attempt to stop the aircraft.
14.3 Controllers should also be aware of the possibility that an aircraft that abandons its take-off may suffer overheated brakes or other abnormal situation and should be prepared to declare the appropriate category of emergency or to provide other suitable assistance.
but I understand that this guidance is under review at the moment.
[Edited for spilling]