The pros should be obviously, CT lasergrip doesn't really have any cons per se. Basically, everyone you'll talk to will recommend to continue training with iron sights as well, easy to do since there is a master switch that will shut the laser off to allow you to do this.
The pros are, point & click, really that simple, you can shoot from the hip with "laser" accuracy, you can keep both eyes open, etc... The current drawback is that the red lasers are hard to see during the day, so it relegated the laser to be useful in lowlight situations exclusively. Green lasers are a game changer, as they're easy to pick up even in broad day light. Previously the technology was too large to make compact, but not anymore. The one downside is they still require much more energy than red lasers, thus decreasing battery life significantly. So the one issue you'll have is to make sure you change your batteries frequently when the green lasergrips drop, but to me it will be worth it, and worth the wait time, assuming the price isn't much more than what the red lasergrips are (since they're already on the expensive side).