Provided it is used as directed, Comma White Grease should not drip when used to lubricate the tracks for an overhead garage door.

Unless the component manufacturer has provided specific instructions
to the contrary its probably best to avoid the use of mineral based
greases on rubber components as they can cause some rubbers to swell or
degrade more rapidly than would otherwise be expected. Although we are
unable to say for certain, this would potentially apply to the use of
Comma White Grease in the assembly of rubber bush suspension joints and
therefore we would not recommend it just in case.