Can "going out" be used as a noun?

A girl says, "I'm going out mom." She gets angry and says, "Enough of your going outs."

Is this correct? I mean the usage of "going outs" in this sentence.

Coming and going are sometimes used as synonyms for the nouns arrival and departure. However, in your example, the phrase "I'm going out" is describing the girl's action, not her person. In this context, going out is not a noun and therefore has no plural. The mother's reply should then be simply "Enough of your going out," if she objects to the departures, or if it's the phrase that she objects to, "Enough of your 'going out's."