It was called "Throb" (1986)
From IMDB:
Recently on her own for the first time, thirty-something single mom, Sandy Beatty takes a job working at "Throb", an independent record label created by ambitious entrepreneur Zach Armstrong. Her son Jeremy and best friend Meredith provide a relatively safe and stable home life while work is filled with ultra-cool twenty-something reminders that she's a fish out of water. Eventually she and Zach begin a romance.
http://us.imdb.com/title/tt0090533/
Blue was played by Jane Leeves, who played Daphne on Frasier.
Sitcoms Online board:
http://www.sitcomsonline.com/boards/...play.php?f=313