Which mechanism would likely NOT increase the clearance of a drug?

The choice indicating that the binding of the drug to tissue proteins would likely not increase the clearance of a drug is based on the understanding of how drug clearance mechanisms work. Clearance generally involves the processes that remove the drug from the systemic circulation, primarily through renal excretion or metabolic conversion in the liver.

Binding to tissue proteins typically refers to the drug associating with proteins within the tissues, which can actually sequester the drug away from the circulation and reduce its availability for elimination. Instead of facilitating clearance, this mechanism may prolong the duration of the drug's action in the body, as the drug is not in a free state available for elimination.

In contrast, increased urine output and administering diuretics can enhance renal clearance by promoting the excretion of drugs through the urine. They increase the volume of fluid available for filtration in the kidneys. On the other hand, alteration of renal function can encompass a variety of changes that can either enhance or reduce clearance, but significant deterioration in kidney function often results in reduced clearance.

Thus, the mechanism by which a drug binds to tissue proteins stands out as one that would not facilitate an increase in clearance, making it the correct choice in this context.