What is the meaning of Like_that?

Gay; homosexual.

Used adverbially or adjectivally to indicate similitude, similarity, equivalent or comparable quality

1. In such, the same, a similar way, in that particular manner

   In such, the same, a similar way, in that particular manner

   Of the same, a similar, that particular kind.

   Used at the end of a sentence to emphasize a resemblance to something, reinforcing a previous instance of the preposition like (or a similar term).

   suddenly; unexpectedly.

   Used to indicate agreement with another speaker's statement.

   Source: wiktionary.org