If it's a silk knit, then in the summer, I would wear it with tan and light brown jackets, though it would look fine with navy as well (also the equivalent suits). In the winter, shade into darker brown. Would add a subtle dimension to solid jackets but could also work nicely with patterned coats (e.g. checks). Bi-colors add a nice additional dimension to ties. I like the idea and recently picked up a navy and white one with a higher contrast between the two colors than in the one you posted, I think. your example is more of an olive color so I think it would work in summer as a lighter green but just as well in fall. I say go for it.