Around here I think you'd be more likely to be teased for Jane or Honor than for Honey. Grace is very common, along with some other virtue names. But Jane??? For this generation, that really would take a bit of living down.
I think there are different sides to this:
what middle-aged mumsnetters think is a sensible ordinary name
what is actually likely to raise eyebrows in a classroom full of children
of course names are continually crossing and re-crossing the boundaries
I was very saddened the day Oscar made it across the line: to me, this is not a sensible ordinary name and never will be
but I have to admit, it's unlikely to get you teased in the playground
for the record, I don't like Honey, Honor or Jane