You can certainly get the compartment syndrome checked out, but I'd focus on the tight caves and see if stretching those out doesn't fix it.
The human body relies on skeletal muscle pumping to return pooled venous blood, as well as interstitial fluid, back to the heart. Three lower limb skeletal muscle pumps exist, the foot pump, the calf muscle pump, and the thigh pump. The foot pump serves primarily to "prime" the calf muscle pump, which provides about three-quarters of the fluid return from the lower body to the heart, while the thigh pump provides the remaining quarter. The soleus muscles are so critical in returning blood to the heart that they have come to be called the "secondary hearts" of the body. The cardiovascular system in the upright person should, therefore, be viewed as a two-pump system where the cardiac muscle circulates blood, and the soleus muscles return pooled blood and lymphatic fluid back to the heart.
If you're calves are tight then they aren't activating correctly and the lack of blood will cause your feet to fall asleep. Have you switched to lower drop shoes recently, or changed to a more mid-/forefoot landing, or increased you miles or done something else to stress your calves?
Try wearing shoes with a high heel drop (10-12% or more) and see if that helps and then slowly work your way to lower drop shoes to stretch out your calves gradually.