There is an adjective in front of an uncountable noun. Can you add "a"?

There is an adjective in front of an uncountable noun. Can you add "a"?

Uncountable nouns can't have singular or plural forms. They can only use the original form to express the type. The uncountable nouns can't add a because they have adjectives, such as water clear water, Chicken means chicken is not countable, but chicken means chicken is countable. Water means water