My little boy, who's 3 now, was premature, and wanted to eat 12-14 times a day... So I completely understand what you're going through!

I think that feeding on demand (which is essential, of course) doesn't mean that you have to feed your baby each time he cries! Babies cry for many reasons: hunger, yes, but also tummyache, boredom, anger, testing their voice... I know it's somewhat difficult for a new mom to 'decode' those cries, and it will come with time.

The problem, now, is that your son's tummy is never totally full or totally empty. I suggest you don't feed him immediately if he ate less than an hour ago, but try to confort or play with him. This way, when you do feed him, he'll be really hungry and will want to take more food, thus leaving you more time 'till the next feeding. See the idea?

Moreover, a baby can perfectly nurse while sleeping. Mine used to do that all the time. So if your baby doesn't suckle for more than a few minutes at a time, it's probably because his tummy is not empty, and he's not really hungry! Maybe he simply likes to suckle, in which case you might consider using a dummy?

Anyway, I really encourage you to go on with breastfeeding! The first few weeks are a bit tricky, but I promise you everything gets easier after that. I brestfed for 2 years, and I loved every minute of it!