The antonyms for the phrase 'sticks into' might include phrases like 'slides out of', 'glides past', or 'bounces off'. These phrases all suggest a lack of sticking or adhering, implying that something is moving easily or freely. Other possible antonyms could include 'escapes from', 'slips through', or 'resists penetration', all of which reinforce the idea of non-stickiness or non-adherence. Depending on the context in which the phrase is used, there may be other possible antonyms to consider as well, but these examples provide a good starting point.