Explanation:
after rereading: Yes, there is a term for water on the moon and it's called lunar water, pretty straightforward. you can check out moon.nasa.gov, or literally look this up in the magical (g-engine) and it'll gove you a few articles.
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oh my, sorry, i thought the question asked if the moon moved water, in which case: I wouldn't say that the moon actually MOVES the water, but yes, its gravitational force is strong enough to affect tides on Earth. (i could've sworn that's what I saw but whatever, sorry!)
