The phrase "kept at arm's length" means to maintain a certain distance or detachment from someone or something, often due to distrust, caution, or dislike. Some antonyms for this phrase could include "embraced warmly," "welcomed with open arms," "closely connected," or "fully trusted." These antonyms suggest a much closer and warmer relationship than the original phrase, indicating that the parties involved are on much better terms and perhaps even enjoy a degree of intimacy or familiarity. While "kept at arm's length" can connote mistrust or hesitation, its antonyms imply a strong bond of friendship or trust.