The two words "putting touch" seem to indicate a delicate and light touch when placing something somewhere. The antonyms for "putting" might include yanking, pulling, grabbing, or wrenching, while antonyms for "touch" might be roughness, force, bluntness, or clumsiness. Together, antonyms for "putting touch" might include forcefully slamming or roughly tossing something. However, in order to maintain an air of delicacy, synonyms such as placing, arranging, or positioning might be used instead of "putting," and gently or softly might replace "touch." Therefore, antonyms for "putting touch" could be seen as haphazardly tossing or carelessly landing items.