My husband and I, although not traveling of late because of a myriad of health issues, in the last decade or so, have always booked an overnight stay at the airport on our trips to Greece at our connection airport. ( usually either CDG or LHR) We would then continue the journey to Greece on the first flight the next morning. It took care of the stress of " are we going to make our connection" ( yes it must be a family thing as I , like my sister, become consumed with worry) and also allowed us to jettison some of the jet lag that night at the connection airport arriving the next morning in Athens ready to go.