In general, chest discomfort related to a heart attack or another heart problem may be described by or associated with one or more of the following: 1  Pressure, fullness or tightness in your chest. 2  Crushing or searing pain that radiates to your back, neck, jaw, shoulders and arms — particularly your left arm.owever, chest pain that is less likely due to a heart problem is more often associated with: 1  A sour taste or a sensation of food re-entering your mouth. 2  Trouble swallowing. 3  Pain that gets better or worse when you change your body position.