The chemical formula for gypsum is $$CaSO_4.2H_2O$$.
The chemical formula for hydrochloric acid is $$HCl$$.
When $$CaSO_4.2H_2O$$ and $$HCl$$ are mixed, the following reaction occurs:
$$CaSO_4.2H_2O+2HCl \rightarrow CaCl_2+2H_2O+SO_2$$
As you can see from the reaction equation, no gas is produced. This means that there will be no fizzing.