I honestly don't think it's the milky substance they use for cleaning.
It may be an early onset of a URI.....I just went through this with my boy Pigster.
First it start with one eye of clear discharge like in your picture, in a couple days it progressed to the other eye. Shortley after he developed wheezing and rhythmic breathing and turned into a full blown URI. I wouldn't delay in getting her a vet visit. Coinciding with this was the fact that he had a large abscess in front of his front molars.
He went from 2.5lbs down to 1.9. He stopped pooping for 48hrs because of the antibiotics....at one point I really thought he wasn't going to get through it. He then had an urgent care visit because he wasn't moving, was feverish and his abscess grew huge in a days time...the vet lanced it, drained it.
The next morning (last friday), he developed an ulcerated eye...so another urgent care visit. Now he's on eye antibiotic ointment.
Today, Pigster is nearly 99 % better, the vet feels I can stop flushing the abscess...his eye is almost normal, the eye discharge has subsided, he's no longer wheezing or having labored breathing and he's finally picking up weight and eating all the time. He went from being on smz, to baytril back to smz which he is on now....his follow up is this friday. I recognize the discharge....as I said earlier, I wouldn't delay a vet appointment as it progresses fast.