I can't believe nobody's written on this before, but it just hit me that the blink dog is a dead ringer for Eugene the Jeep from the old Popeye cartoons. Of course, the yellow pelt of the blink dog may have had its immediate inspiration elsewhere, but the Jeep shares this coloration:
It must also be said that the Jeep was able to use a limited form of teleportation (among other powers):
Of course, the inspiration may have been subconscious, but I'd have to say that the blink dog is a dead ringer for the Jeep. I don't know the inspiration for the blink dog/displacer beast animosity (besides the stereotypical cats and dogs rivalry), but I'll be on the lookout for Popeye the Sailor/Voyage of the Space Beagle crossover fanfic.