My doctor prescribed hcg comes to me pre-reconstituted in a refrigerated box. I get 2 6000iu vials. The directions say to refrigerate the first one for immediate use and freeze the second vial until ready to use. I've been doing this for a year now and the hcg works just fine.
I don't think that freezing/thawing/freezing multiple times is good though. Frequent temperature changes isn't really good for any compound.....isn't that how beer goes skunk? lol