No airlines it seems, except MEA & AEROLINEAS ARGENTINAS flew both Comets and Caravelles at the same time in the 1960s'.
Air France had Comet 1's in service, along with UAT (TAI/UTA) until the grounding in 1954.
They then both operated new Caravelles when first introduced about 5 or so years later.
The Caravelle cockpit and RR Avon engines were part of the Comet 4 legacy.
Old RHO airport was Maritsa behind the hills....