Antonyms for the phrase "art at beck and call" could include terms like unskilled, inexperienced, or untrained. Other antonyms might include imprecise, inartistic, or unimaginative - all of which suggest a lack of creativity or technical ability when it comes to artistic pursuits. Additionally, words like unresponsive or indifferent could suggest a disinterest or unwillingness to engage with art altogether. Ultimately, there are many possible antonyms for the idea of having art at your beck and call, depending on how you want to frame the concept of artistic skill, creativity, and cultural engagement.