gas heat produces a much lower stack temperature than oil heat, especially an old clunker. what will happen is the gas exhaust, being much lower, will condinsate in the chimney.
3 things will happen
1- if the chimney isnt cleaned out of the soot from the previous heating system, the soot will fall to the base along with the scale, blocking the new flue pipe... now you are depending of the spill switch on the flue hood.. to shut it down, because if it doesnt, you will develope carbon monoxide once that exhaust is reburned, and respilled.
2- if the chimney is one of these center of the house brick lined babies, again, the condinsation will deteriorate the mortar, and bingo, you are releasing exhaust in the house.
3- if the chimney is on the outside wall, with 3 exposed sides and tile lined, 7 inch probably, on a cold day again with the condinsation, and you might actually see the water coming out of the cleanout door by the boiler.
the chimney liners will actually reduce the 7inch clay flue to a 5 or 6 aluminum or stainless [more money] metal liner, so it warms up nicer [better draft] with the lower stack temps, and is impervious to the wetness.
this is perhaps the most important item to resolve when converting to gas heat. [ along with not cutting off the fill pipe in the basement and removing the oil tank, and yet leaving the fill end outside...which has happened]