Yes, a clogged showerhead can cause leaks. If the showerhead is severely clogged, the water will try and find other outlets. When water can’t pass through the holes in the showerhead, it leaks out through tiny openings. The shower plate, joints of the shower arm, and other fissures in the pipe are common leakage points. Cleaning out the clogged showerhead fixes such leaks in most cases.