Kaitlyn had the same thing for about 2.5months on and off.

Our Pead told us it is very comment in babies and will usually come and go for the first three months. We used Saline and a clean cotton wool ball for each wipe. There is also a special massage (more like a wipe down ) of the eye...but you really need to be shown how to do it ..this apprantly clears the tear duct and helps remove the gunk.

I was also told by a pead there was a antibiotic that can help if it gets really bad, but then another one told me that it doesnt work.

I hope it clears up soon.