Asaparagus and sesame is a divine combination.
You should be able to make a Japanese style sesame sauce with the tahini.
Usually you toast and grind sesame seeds, but the tahini is the same thing done for you. Assuming your tahini is quite stiff, take 4 tablespoons and add 1 tablespoon sake, 1 tablespoon of sugar (or just a half spoon is fine), 1/2 tablespoon of soy sauce and a sprinkle of salt. Mix together and toss with asparagus, green beans or lightly cooked spinach.