sticky eye is very common in newborns. its probably just that. as sherlock said cooled boiled water and breastmilk are great for that.
however, u are ur babys mother and u kno if there is something wrong. if u have any nagging doubts that its not clearing up, go to the GP and get swabs done.
this is what happened with me, my daughter developed "sticky eye" at 7 days old, and 2 months on it wasnt getting any better depite drops and ointments, in fact if anything it was worse. i kept nagging the docs about it i felt like a right tit because i knew they were thinking i was being a hyperchondriac(sp?) but it paid off in the end- swabs came back tested positive for chlamydia. she had caught it from me during the birth
worst way EVER to find out i had an STI
(it was symptomless for me i had no idea). thankfully she was treated with erythromycin (myself and OH also had the same antibiotic) and it cleared up straight away, and now we are all clean thank gods. had it not been found and treated as early as it was, it could have damaged her eyesight
i was VERY angry that i wasnt tested in pregnancy, especially as its a "young persons" disease and all under 25's are routinely tested, i had JUST had my 26th birthday
think all pregnant women should be tested, grrr- but i'm over that now i am just glad my little girl's eyes are ok
its more than likely in ur case its just sticky eye, but i tell this story to everyone so they can be vigilant. hope it clears up soon