Using compression socks for running, recovery and even to speed up rehab from injury, is practiced by athletes, coaches and trainers at the highest levels. However, only graduated compression socks with a compression range measured in "mmHg" are clinically proven to be effective.
So you should beware of the generic "compression socks" you see advertised. If they are not listing a compression value (eg. 15-20mmHg, 20-30mmHg) they are almost certainly not incorporating graduated compression, and can actually constrict your circulation and cause serious problems.
VO2fx compression socks for running incorporate patented designs and technology, and the 15-20mmHg and 20-30mmHg styles are also registered with the FDA as a Class I Medical Device.