Hi Terry, There are a lot of changes going on in the mouth and jaw of a young puppy and it is not unusual for the eyes to be a little droopy and red when teething, also the jaw is making some huge changes and soon will look like Pinochio. So long as the discharge in the eye is not yellow or greenish then there is likely no infection but do keep watch on those eyelids that they do not turn in and irritate the eyeball. Use a separate clean soft tissue for each eye and gently clean wiping towards the nose for the inner corners. Any tearing from the outside corner can be an early indication of entropia (eyelid turning in) and then you will need further consultation.
Rose Tierney.