Possible Clues:

• Behave harshly towards family member who's only succeeded once
• To put your foot down will get no little dears up
• Country music diva Diment
• It turns up that there aren't any domestic animals to have underfoot here
• Behave harshly to­wards board
• Walk atop
• Crush underfoot
• Crush? Go faster, avoiding it
• Use, as a bathroom scale
• Go faster, with 'it'