Heat olive oil and ham in a medium skillet over medium-high heat. Sauté for 2 minutes or until the ham is starting to brown. ADD milk, bring to a boil and simmer for 7 minutes, or until reduced by half, stirring constantly.
Add peas, and continue to simmer for 2 more minutes.
Meanwhile, cook the pasta according to the package directions. Drain and toss pasta with the sauce; season with salt and pepper.
Finish sauce with chives and cheese. Serve immediately.
