I never noticed a continuity issue until just now (saw the movie opening week in 1980 and, well, a lot since then).
Leia orders the evacuation of the rest of the rebels during the battle on Hoth and C3PO is standing next to her, the next scene is a very brief one of Han and Chewie arguing about Falcon repairs and then, not even thirty seconds later, there’s C3PO in the hanger while R2 is being loaded into Luke’s x wing. Either the hanger and the command center are a lot closer to each other then the subsequent escape would have you believe (doesn’t sound like a good strategic decision if you ask me) or C3PO can really haul tin.