It's often difficult to discern what variegated yarn will look like when viewing it on a cone. For my reference I made some samples using six different variegated colorways that I recently purchased. Feel free to use these photos as a reference. Colors will be different depending on your monitor but I tried to take as clear and as accurate photos as possible. All the 8/2 variegated Tencel is in the warp. I used weft colors that would show off the warp as much as possible. The Tencel colors are what yarn stores are naming their cones.
Above: "Big Red" for warp, black rayon for weft
Above: "Fire" for warp, sienna for weft
Above: "Mountain Stream" with black borders for warp, black for weft
Above: "Sapphire" for warp, black for weft
Above: "Spice Combo" for warp, black for weft
Above: "Spice Combo" for warp, spice (non variegated) for weft
Above: "Wild Grape" with black for weft