Greenwich Hospital says it "acted appropriately."
In 2006, Dr. Ian Rubins, reputed to be one of the top surgeons in his field, was caught injecting pain medications intended for his patients. In November 2007, he voluntarily turned in his medical license.
His drug problem became public this past January, when he died of an alleged drug overdose.
"I read it in the paper and I was revolted," one of the women told CBS News.
The hospital, in one of the wealthiest towns in the nation, refused a request by CBS News for an interview, but issued a statement saying, "We believe that the claim lacks merit and that the hospital acted appropriately."
Two of the eight women told their stories to Early Show co-anchor Maggie Rodriguez Monday.
One questioned whether the severe, long-lasting pain she suffered resulted from Rubins using medication himself that was meant for her.
Both speculated Rubins was on drugs during their surgery: