Moved in on typically refers to the act of encroaching or advancing onto someone or something's space, territory, or possession. Opposite or antonyms for this phrase could include terms like stepping back, retreating, surrendering, or even giving up, giving way, or letting go. These antonyms suggest a sense of reluctance or withdrawal instead of conquest or dominance. Examples of sentences with such antonyms are I felt uncomfortable when someone moved in on my personal space, so I stepped back. Another sentence could be, After realizing my mistake, I surrendered my claim and stepped back, allowing my colleague to take the lead.