I love wearing full compression tights after long races. It makes walking around a lot easier and just feels good. But I've worn compression gear for runs off and on throughout the years and really never noticed them do much. Calf sleeves can reduce pain if your calves are sore, but they wont prevent injury or anything like that.
Yeah, compression socks are pretty comfy, and actually during training, the hard-working muscles utilize oxygen-rich blood for fuel, which creates deoxygenated metabolic waste products, such as lactic acid. They can actually help with increasing muscular stability like it was in my case. I remember when I wanted to make a morning run every day with my wife because we are old and want to keep our body healthy. However, lucky us our thought materialized and we bought some the compression socks from https://tiux.co/ . The price was pretty good so we bought a lot of them at once. We still make a mornin run btw.