The phrase "hast a hand in" suggests being involved or having a role in something, but what if you need to find an antonym for it? In this case, some options include "disclaimer," "disavowal," "disownment," or "abdication." These words indicate a lack of involvement or responsibility, instead conveying a sense of dissociation or distance. Alternatively, you could use phrases such as "not my business," "not my responsibility," or "not my concern" to emphasize a lack of engagement or interest. Whatever the situation, having a strong understanding of antonyms can help you to communicate more effectively and accurately in a variety of contexts.