Having no inclination for a palindrome (5)
I believe the answer is:
level
'palindrome' is the definition.
I can't explain the rest of the clue.
Can you help me to learn more?
(Other definitions for level that I've seen before include "Having a flat, horizontal surface" , "Neither winning, nor losing" , "Floor; horizontal" , "Flat, even" , "Absolutely horizontal" .)