At this moment Greece is still considered a safe travel destination.
Regarding the Corona virus COVID-19 and travels in Greece we find little guidelines from the Greek gouvernment. Only recently a general article is published on the official website of the Greek Ministry of Tourism: http://www.visitgreece.gr/en/home/about_covid_19.
We base ourselves on the travel advice on the Dutch website of the Ministry of Foreign Affairs, specifically for Greece (only in Dutch): https://www.nederlandwereldwijd.nl/landen/griekenland/reizen/reisadvies.
At this moment Greece is all ‘green’. Some cases have been reported and these are in quarantine.
Schools, universities, musea and archeological sites are closed until end March. The population is well aware of the risks and behaves in accordance with the guidelines of the WHO.