On his autobiography, Clapton mentions his dog Jeep only once. Recalling the spring of 1976, when after a year of touring across the world he returned to his country estate Hurtwood, he writes:
> "When we had a copule of dogs living there - Jeep, a weimaraner, my first dog since childhood, and Sunshine, a golden retriever - we would let them crap in the house because we were too stoned to clear it up."
>
> _(Clapton: The Autobiography, pg. 169)_
So the interviewer (or multiple other sources, including George Harrison song "I remember Jeep") didn't misspell Clapton's dog name.
I don't know of any source that reveals the origin of Clapton's dog name, but you can be pretty certain that it was not named after Dr. Dolittle's dog Jip, as the spelling and pronunciation are different.