It can take 2-3 years for skin to shrink up first of all. Second, a lot depends on genetics. Some people have better luck than others. Age also plays a factor, diet, smoking, etc. And, perhaps, length of time you've been obese can maybe factor in. Basically, you can't know yet, but....
FOR SURE you look tons better and are tons healthier 80 pounds lighter and it probably bothers you more than it bothers anyone else. We are our own worst critics!
So... relax, dress for your new body and give it time.