Two seemingly unrelated combinatorial objects and actions are increasing tableaux with K-promotion (arising in K-theory of the Grassmannian), and rowmotion on plane partitions (arising in Lie theory). In this talk, we will give some background to understand these combinatorial objects and actions, describe the connection between these two things (joint w/ J. Striker and O. Pechenik), and then discuss how the results can be extended to the more general setting of increasing labelings of any partially ordered set (joint w/ J. Striker and C. Vorland).