IF you are using Nicotine gum (or the patch) to quit smoking I say Great, just know that it continues the actual addition it just gets rid of the habit of smoking.
In 1986 I quit smoking - cold turkey, it was one of the hardest things I have ever done, I did start going through at least 1 box of TicTacs a day for the first couple months (do they even still sell TicTacs?)
Just know that as long as you don't dwell on them the urges to smoke do go away and it gets less and less over time, however my doctor told me and he was correct, that for as long as I smoked, thats how many years I would still get cravings. (of course the longer it was the less frequest and strong they were).
Good Luck.