Antonyms for the phrase "keeps up on" could be "ignores", "neglects", or "overlooks". To ignore means to pay no attention to or to disregard something, whereas to keep up on means to maintain current knowledge or awareness of something. Neglect means to fail to care for or pay attention to something properly. Overlooks means to fail to notice, pick out, or consider something. Therefore, if someone is not keeping up on something, they may be ignoring it, neglecting it, or overlooking its importance. It is essential to keep up on certain things in life, especially if they have an impact on our personal or professional lives.