I know that there is confusion. K-Means is a supervised learning method to fit clusters. Jack-knife is a technique to estimate the standard error independent of the model. Honest assessment is an approach to select and evaluate among candidates models in lieu of future observations. Cross-validation is generally used for honest assessment. Cross-validation is generally accomplished by either holding out sub-sets of data (large data set case) or by K-fold cross-validation (small data set case).
See Hastie, Trevor, Robert Tibshirani, and Jerome Friedman, "Elements of Statistical Learning: Data Mining, Inference, and Prediction, Second Edition," Springer. See Section 7.10: Cross-validation.