We have a few. My middle name goes back several generations as a female middle name. My daughter's first name is a generational name on my dh's side, and she has my middle name. DD's soon-to-be born daughter will have another first name that goes back a few generations on my dh's side as well.
None of it is pressured or expected...it's just a nice tradition. There's enough children in the family that we assume at least one child will pick it up again when they all start having kids. If not, it will be okay.