You should go see a doctor.
I have heard of heart pains described as 'squeezing'.
New onset chest pain always requires evaluation by your doctor. If the pain is severe, you should seek immediate medical care.
Even if the chest pain is not severe, emergency care is needed if the chest pain is crushing or squeezing or is accompanied by one or more of the following symptoms
shortness of breath
discomfort or tingling
in the arms, especially the left arm
pain in the back
tightness or pain in the lower jaw
or loss of consciousness