Chest tightness

Chest tightness: Seasonal allergies are extremely common and often uncomfortable, but when should you see a doctor? ... Even so, downplaying the condition can make it easy to ignore signs of serious allergies, such as chest tightness and difficulty breathing, which require medical attention. Asthma mainly affects your lungs, and may cause coughing, wheezing, chest tightness, shortness of breath or rapid breathing. Undetected allergy can cause asthma in the longterm.

Tightness in the chest can be caused by multiple issues. Reasons include infection, injury, anxiety, cardiovascular conditions, lung conditions, and digestive issues. If you feel like your chest is tightening, you may worry that you're having a heart attack.
Seeing a Doctor is definitely recommended.

Allergies also cause chest tightness. An IGE test can determine that.