People that have periodontitis  are more prone to gum abscess or periodontal abscess.  However periodontal abscess can happen to people with normally healthy gums.  If you get food particles stuck in between your teeth for prolong period of time.  You can develop a periodontal abscess. 

The symptoms of a periodontal abscess can include:

-Throbbing pain on your gums/ gingiva

-Sensitivity

-foul taste

-sometimes a fever can develop If you think you have any type of dental abscess, it is best to see your dentist as soon as possible.  The infection in the abscess can destroy the bone around your teeth and gingiva.  The infection could lead to more serious complications.