Out here in the deeply religious rural midwest, that's a popular look for women. Go to a homeschool convention or farmer's market or play group and you'll see a roomful of ladies wearing a sleeveless dress (aka a jumper, or pinafore dress if you're in the UK) over a contrasting t-shirt in warm weather or turtleneck sweater in cold weather. I tend to favor modest, old-fashioned looks myself so I thought I'd give it a try. Here is the result.

I apologize for the cartoony face. No matter how much or little I'm prepared to go out in public, I don't post photos with my actual face on it in public, world-viewable forums even when they don't involve controversial clothing choices. I'm paranoid enough that I keep all photo options viewable by family and close friends only, I blur out identifying features like license plate numbers and street addresses... once your personal info gets out into the wild, you can never get it back again.