It is definitely a cold feeling that sometimes reflects in a shiver in my upper arm. I did not get the feeling whilst the post operation bandages were in place but it occurred pretty well as soon as the stockings were put on my legs. I have had something similar in the past but just the top of one foot. This went away following some phisio. It may not be helpful but it seems to me to be something to do with ambient temperature and the skin.
They don't particularly feel tight and I have already been back to the hospital for a replacement pair as the originals did not fit very well above the knee. Don' know whether this helps but I thought I would buy a pair of thermal long johns to see if they would warm up my legs. Immediately I put them on over the compression socks there was a feeling of cold. When I returned home I removed the support stockings entirely for a short period and this reduced the sensation of cold.
OK. The product I have in the cupboard is "Loratadine", would that do?
And just because this has caused me a considerable amount of distress ... and I know nothing in life is guaranteed ... but can I discount the more serious issues such as poor circulation or nerve damage?