Hi, welcome to the ehealth forum and I am glad to help you.
You seem concerned by the feeling of something stuck in the throat especially on smoking.
From your description, this could be something at the base of your tongue or in your throat. It could have been an irritation, a swelling, or possibly an infection.Other possibility is that the feeling could be related to GERD and institution of treatment for the same in consultation with your personal physician might be helpful. Stress can also lead to similar feeling.
But with the history of smoking in your case, it is better to rule out something serious and plan an appointment with your doctor for definitive diagnosis as the same is not possible online.
Hope this helps. Take care.
Note: This post is not to emphasise final diagnosis as the same cannot be made online and is aimed just to provide medical information and no treatment suggested above be taken without face to face consultation with health care professional.