The article quoted is badly written, and also an example of the downside of using "their" as both a singular and plural possessive pronoun.
"Queensland high school teacher has been referring to themselves as a cat, while also allegedly hissing at students and licking the back of their hands in disturbing classroom behaviour."
Because "themselves" is used to refer to a teacher and the noun "students" is used in the same sentence, it is not clear to whom "their hands" refers. Personally I think it means the teacher licked the backs of his/her hands in an imitation of feline behaviour. But the paragraph as written could be interpreted as the teacher licking the students' hands.
Anyway, there are other behaviours:
"Photos and short videos show the Marsden State High School teacher in a classroom wearing a cat ears headband and a lanyard with the word “purr” on it."
and
"The Courier-Mail has been told the teacher was asking to be referred to as Miss Purr, and has been seen wearing the ears around school grounds over multiple days, including at an assembly.”