The American Academy of Ophthalmology has urged patients to limit use of contact lenses.  Spectacles can also add protection against the aerosolized coronavirus.
Conjunctivitis or pink eye is a very rare symptom of Coronavirus.  The peer review literature states an incidence of only 1-3% in patients with confirmed cases of COVID - 19.  Most cases of "pink eye" this time of year are either allergy related or caused by a common cold virus. 
Click here for the AAO's release on Coronavirus Tips.
The full NEJM article on COVID -19 and conjunctivitis can be read here
An article in proof states that neither viral DNA nor virus culture was obtained from tears suggesting low risk of ocular transmission.
  
What is Coronavirus and COVID 19?  An explainer from CNN
Coronavirus Symptoms and when to call a doctor from The Guardian