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If the lift is falling at a constant rate, than the air will be falling at the same rate, and so there is no relative motion. As the lift accelerates, the flame might grow slightly due to the reduced effect of gravity.If there was a massive rush of air (which normally is not the case in a sealed lift, although it might be the case if you were using an exposed lift, e.g. a fireman's lift, or the type of thing window cleaners use to clean the windows of tall buildings), then the cooling effect of the air might quench the flame.
if the lift was falling from height, say 20 floors up, would the candle go out?
Unlike most candles, you would have to blow it to keep it alight!