The antonyms for the phrase "sticking into" can vary, depending on the intended meaning. However, some possible antonyms could be "pulling out of," "withdrawing from," "disengaging from," or "detaching from." These antonyms suggest a sense of release, detachment, or separation, rather than sticking or adhering to something. Using these antonyms could indicate a desire to distance oneself from a situation, object, or person, or to abandon or let go of a particular idea or belief. By choosing the appropriate antonym for a given context, the speaker can convey a very different impression or tone.