Demazure-Lusztig operators appear throughout the study of p-adic Whittaker functions. They can be used to construct related objects, in both the nonmetaplectic and the metaplectic, and the finite-dimensional and affine setting. Brubaker, Bump and Licata used them to describe Iwahori-Whittaker functions in the finite-dimensional setting; Manish Patnaik to prove an analogue of the Casselman-Shalika formula for affine Kac-Moody groups. In this talk, I will review how metaplectic analogues of the classical operators can be used to prove an analogue of Tokuyama's theorem. This links the constructions of Whittaker functions as a sum over a highest weight crystal (Brubaker-Bump-Friedberg and McNamara), and as a sum over a Weyl group (Chinta-Offen and McNamara). Then I will discuss joint work with Manish Patnaik that relates metaplectic Iwahori-Whittaker functions to Demazure-Lusztig operators in the finite dimensional as well as in the affine setting.