I often wear a rosary around my neck, for the protection of our Lady, the devotion and potency against sin of having the Crucifix of Christ and our Lady on the heart, and the ability to pray a decade or five at any time. I never knew or thought there to be anything even questionable, let alone offensive, about it. I would have thought of it in the same vein as a scapular. I often don't or forget to remove it and put it in "praying position" around the hand if I'm not praying rosaries before I sleep, and never gave a second thought about it being sacrilegious, if anything, proximity to the profundity of the Holy Virgin Mother of God's grace at all hours of the day (and, if I put it down, it would likely as not be lost by awakening). I need my hands free when awake (constant reading and writing) so I can't wrap it around my hand, and it seems wrong to lay it around where it will inevitably get lost (like my six inch by six inch two pound key fob) every other day.
I would put it in a pocket, but the few pockets that haven't broken open at the bottom irreparably (or re-made in duct tape) seem like they would either be filled, or even if not, the (very delicate) rosary would be damaged. Letting it pile up in the hand is enough to get the links of chain fouled up with each other, and needs to be opened and re-linked (which has probably been done so often that I can be considered the maker of the rosary by now). The rosary is exceedingly inexpensive, but, if I could afford a wire-wrapped rosary, the pockets on my slacks would be in better condition.