The antonyms for "getting fingers on" can vary, depending on the context. For instance, if you're trying to suggest difficulty or a lack of control over something, antonyms could include words like letting go, releasing, or relinquishing. On the other hand, if you're referring to a positive experience of mastering something, antonyms may be words like giving up, quitting, abandoning or surrendering. Additionally, antonyms could include actions that are completely unrelated, such as turning your back, taking a break, or simply ignoring the situation. Ultimately, the antonyms for "getting fingers on" are dependent upon the specific situation, and can include a wide range of possibilities.