On a gas stove, the gas heats up not only the pot, but the air around it as well. As the water within the pot boils, the relative air temperature in which it is boiling is quite warm, and therefore while there is steam, there is perhaps not an inordinate amount of it.

On removing the pot from the gas-stove, the steam enters a (usually) cooler air environment, and this air will also have a much lower relative humidity and water vapour pressure (not the same thing, but very similar - its both temperature and pressure driven).

The result of this atmospheric change is that the water is hotter than when it was within the drier, hotter air made by the gas jet's combustion, and so the amount of steam produced off the surface is considerably greater. On a cold day, the steam will billow like an indoor cloud. On a hotter day there will be more of it, but perhaps less energetic. And if you live in Singapore, there may in fact be less steam thanks to its tropical RH !