Khole is a variant spelling of Khloé — the Kardashian family variant of the Greek name Chloe. The K-opening and -e ending mark it as a pop-culture derivative, and pets with this name were almost certainly named during the peak of Keeping Up with the Kardashians cultural saturation between 2009 and 2018.
The Kardashian Pet Name Effect
The Kardashian family generated a small cluster of pet names through cultural osmosis: Kim, Kourtney, Khloé, and the variant spellings they inspired. Khole specifically is a phonetic approximation that captures the sound without committing to the official Khloé orthography. Female dogs and cats in households that watched the show regularly ended up with these names as casual choices that felt familiar. See popular female pet names for how this name sits in the broader landscape.
The Underlying Name
Stripped of the pop-culture overlay, Khole is essentially Chloe — a Greek name meaning "young green shoot" that has been in consistent use since antiquity. The underlying name is lovely, which is why it worked so well for the Kardashian brand adaptation. Chloe as a human name has held top-40 ranking in American registries for years. Chloe as a pet name is significantly more common than the Khole variant.
The Counter-Reading: Spelling Artifact
The Khole spelling has no inherent logic — it's a transcription of a phonetic approximation of an unconventional celebrity spelling of a Greek name. Explaining it in a vet's office requires a certain commitment to the reference. At this point in time, the cultural moment that produced it has receded, which means Khole reads more as a registry curiosity than an active naming trend.