Go through these in order and stop at the first one that applies. If you are reading this for someone else, answer for them.
Seek emergency care for:
Seek same-day medical care for painful swelling near the inner corner of the eye, spreading redness, pus, or fever.
A young infant with fever or a newborn with a bluish swelling beside the nose should also be assessed promptly.
These symptoms are not expected with a routine uncomplicated blockage and may indicate infection spreading around the eye or another urgent condition.
Routine follow-up is appropriate when tearing or discharge continues, keeps returning, affects vision or daily activities, or has not improved as expected.
Babies with ongoing symptoms should be reviewed by their pediatrician or eye specialist so that the need and timing of a procedure can be discussed.
Attend planned visits so the clinician can check healing and remove a temporary tube if one was used.
Contact the team earlier if symptoms worsen rather than improve.
The article also says
After probing, tube placement, or DCR, follow the surgical team’s instructions for eye or nasal care.
Every sign above is quoted from the sofidex article on Blocked tear duct. If you are not sure, err upward — it is always reasonable to be checked.