Abusement is actually not an officially recognized word in standard English dictionaries. The correct term you might be looking for is ‘abuse,’ which refers to the improper usage or treatment of something or someone. Some might use ‘abusement’ informally to describe the act of abusing, but it is considered a non-standard or colloquial usage.
Language is constantly evolving, and while new words can emerge in casual conversation, they may not always find their way into formal recognition. If you come across ‘abusement’ in writing, it’s best to consider the context and whether the writer intended to convey a specific meaning using a non-standard term.