After the cuff is tied, the cells and tissue distal to the cuff will continue consuming ATP (
ATP->ADP), but no fresh blood will be delivered to “clear” what will be an accumulating amount of ADP and other metabolites. ADP (=Adenosine) is itself a proxy of consumption and drives vasodilation of arteries! (Evolution is smart!) Increasing ADP/Adenosine in a “local environment” is a signal to the body that a lot of consumption is occurring there; thus, arteries and arterioles naturally dilate to increase blood flow rates and “sweep away” metabolic byproducts.
I don't know if this was the right way i thought about it but i remembered C.H.A.L.K the things that cause vasodilation in skeletal muscle
C - Co2, H - H+, A- adenosine, L - lactate K- K+