You heard me. Will your cat climb as high as they can physically get or are they scared of a certain level? As a young cat, Sibyl would never climb higher than the kitchen counter - she seemed scared she would hurt herself if she tried! Now she'll climb to the highest point she can reach and will stay there for hours on end. Alice is too small to jump very far, but if she can climb somewhere, she's there. She's always trying to go after the big cat and will keep her company up high, even if Sibyl hates it.