This will vary considerably with the amount of lift and how the truck is lifted. The common change for all lift kits and trucks is that by raising the vehicle you are raising the center of gravity. Raising your trucks center of gravity will not allow it to turn the way it did without a lift. This is not a problem for most people, but something you always have to be aware of.
Many people raise their truck just to add larger tires. How large of tires you add and the tire tread will also have an impact on how your truck handles. So, if you want a lift kit just for looks, you have to remember that the truck will handle differently with the changes that you make. The increased sophistication in vehicle suspensions, such as Independent front suspension, has also changed how a vehicle with a lift kit will handle. If you are installing a suspension lift kit on a new vehicle many of them will maintain a ride very similar to the factory.