I do, as a public profession of my faith. It is an unusual cross and I get asked about it often. I bought it in Juarez, Mexico and have worn it ever since. It is a silver cross, (1 1/2 x 1 inch), with rounded edges. It has a dove at the intersection of the cross. In Spanish it says, “Jesus Es Mi Senor”, (”Jesus is my Lord”).
While I don't think images of Jesus are proper, I wouldn't wear one, but crucifixes, on others, don't bother me. I would not have a picture of Jesus, (since none exist, except for maybe the shroud), in my house. I wouldn't want one in my church, yet I have attended churches where they did have them.
I frequently wear a silver Ethiopian cross brought to me from Africa by a friend. Mine is similar to the picture below, but there are no two alike. Mine is a little more "cross-like". I also have a gold cross set with garnets for "dress up" occasions.