In I Love Me, Vol. I, Mike Bonner recognizes a handful of palindromes involving Eva and a cave, including "Eva, can I pose as Aesop in a cave" and "Eva, can I stab bats in a cave?," both attributed to Leigh Mercer, and "Eva can, I see, bone no bees in a cave," by J.A. Lindon. However, there's lots more that can be said about our troglodytic Eva.
Connett, John E.
"Eva, Eh? In A Can I Heave!,"
Word Ways: Vol. 32
, Article 24.
Available at: http://digitalcommons.butler.edu/wordways/vol32/iss2/24