Chasing threads with a die is technically not "chasing threads", you're recutting them and the result is NOT necessarily true/straight; it wouldn't be much different than just threading your barrel with a die. This can be a problem, you more than likely will only make it worse.
The proper way is to use a thread chaser. This is a multi-piece die held together by a spring. You pull the piece apart, expanding them out so they slide on without even touching the thread, and you place them back where the thread is good. This way you have good threads as a guide. You then slide the wrench on the chaser and back it off, it will deform the thread back into place and may cut a little off as well.
There are other styles of thread chaser as well... they all have their pluses and minuses...