I am a 34 year old female with a tightness in my chest should i go get it checked out?

Yes: The tightness in the chest is a symptom should not be ignored. It is more so in females. Beside heart there are many other causes related to this symptom, which may includes chest wall it self, breast, lungs and heart it self. There reports of having heart attack in women in age group 3os. There are lots of other factors like family hx and cholesterol level etc. It is always a good idea to get it.