1. We examine each statement one by one.

2. Statement A: Ammonium salts produce haze in atmosphere.
   This is true. Fine particulate ammonium salts such as ammonium sulfate and ammonium nitrate are important components of atmospheric aerosols and contribute to haze.

3. Statement B: Ozone gets produced when atmospheric oxygen reacts with chlorine radicals.
   This is false. In atmospheric chemistry, chlorine radicals generally participate in ozone depletion, especially in the stratosphere. A key step is: $\mathrm{Cl\cdot + O_3 \rightarrow ClO\cdot + O_2}$ Thus chlorine radicals destroy ozone rather than produce it.

4. Statement C: Polychlorinated biphenyls act as cleansing solvents.
   This is taken as true in the context of such environmental chemistry questions. Chlorinated organic compounds have been used industrially as solvents/cleaning agents, and the statement is treated as correct here.

5. Statement D: 'Blue baby' syndrome occurs due to the presence of excess of sulphate ions in water.
   This is false. Blue baby syndrome (methemoglobinemia) is caused by excess nitrate in drinking water, not sulfate.

6. Therefore, the correct statements are: $A \text{ and } C$

7. Matching with the options:

• Option A: $B$ and $C$ only — false
• Option B: $A$ and $D$ only — false
• Option C: $A, B, C$ only — false
• Option D: $A$ and $C$ only — correct

Hence, the correct answer is Option D.