Ahh eva suffered on and off from gunky eyes for months (blocked tear duct).
I used to collect breast milk in a cup and then use a cotton ball to wipe it over her eye... then I realised a few weeks later, why do that when I can just squirt it straight in? LOL
I would do it every 3-4 hours, depending on how the eye was looking. Sometimes this was enough to manage it, and the gunk would clear up, but on some occasions I did have to go to the Drs for a script of antibiotic eye drops.
You can also make your own saline solution using sterilised warmish boiled water, and salt added to wipe over the eye (starting at the inner corner, then to the outside).
Goodluck, hope it clears soon!