HI.. the closest METRO RAIL stop from that area would be at Pentagon Station.
There are great buses called ART , that run around Arlington, ideal for getting those not in a walk to METRO area .. to a Station.
The area you are looking at is great for other wonderful amenities.. a quick commute into DC by Rt. 50 if you drive.. wonderful restaurants on Columbia Pike.. and you are only minutes to Clarendon.. the 'center' of Arlington's newer shopping and social districts.
It's a tiny county.. only 26 square miles.. so you aren't that far from anything.. including the District!