I doubt you would shut down, but the body adjusts to everything as best it can by maintaining homeostasis. So if T were to go up so would estrogen without use of an Aromatase inhibitor (AI), which would I would guess eventually negate the blocking effect of the clomid since more of it would be in the system. If free T would change at all with clomid alone for an extended period of time I dont know, I'm not nerdly enough to get that in depth.
Nothing is free forever, eventually the body is going to do something.