This is one of the very few deer tattoos I have ever seen. I could be wrong but I do not think these are very popular. At least not in the major cities. Possibly more out in the country where a lot more hunting goes on. And there it is easily understood. I have known many people who take their deer hunting very seriously and it would not surprised me at all to see any one of those people with deer tattoos on their arm, especially a nice small one like this.
Other than the hunting connection there are some other meanings attributed to the deer tattoo. The ancient Celtics had many myths about the deer and considered it to be an animal of grace and as such they linked it to both music and poetry.
Then I see deer tattoos that look like this one, I always think of the old movie, The Deer Hunter, because an image very much like this one was the logo for that movie. And that movie was a very powerful movie. In China the deer is a symbol of happiness and good fortune. And the deer is also know in many cultures as a graceful animal that will not fight unless provoked.