Despite any manufacturer claims to the contrary, it would be hard for any clothing to compress anything enough to make that great a difference in your potential for re-injury, without completely cutting off peripheral circulation. The main value of compression shorts is to reduce chafing from otherwise loose-fitting gear, and the moisture-wicking effect from clothing next to the skin. There is also a placebo effect from the sensory feedback.
There may be a brace of some kind that could prevent over-abduction, but it would probably be too uncomfortable for wear during a run. Your best bet is to choose your running surface with care, by avoiding all uneven terrain, surfaces that are too soft for a stable foot plant, curved surfaces like track ovals, and speeds that recruit the adductors as auxiliary hip flexors.