Usually, when a clicking or buzzing sound emerges from a power shower, it is a telltale sign of a blockage within the shower pump.
To combat this, you should inspect the inside of the shower system for unwanted junk and debris that could be jamming the pump or blocking a filter.
Cleaning out this unwanted grime and dirt will help to alleviate the pressure on the shower, in turn eliminating a clicking or buzzing noise when it is in operation.