"Eye drainage" refers to the liquid or fluid that can sometimes come out of the eyes. It can happen when you have tears, mucus, or any other substance coming out of your eyes that are generally clear or slightly colored. Full definition
Most pooches experience eye discharge because of dirt, dust or allergic eye drainage, which is common. (petsmagazine.com.sg)
After just a month, beautiful shiny coat, no sneezing or eye drainage at all. (chewy.com)
But because of selective breeding, illness, and trauma, your cat may not be able to adequately groom themselves so you may need to do it, from combing them, trimming their nails, or wiping eye drainage from their face. (allfelinehospital.com)