Possible Clues:

• Scrolling strip on a sportscast
• Move at a snail's pace
• Creep — boring thing following councillor
• Slow progress made by our monarch altering law
• Fawn starts to cautiously run along wooded lane
• Move slowly in cold, bitterly cold, lake
• Crop left for fawn
• Slow progress
• Move slowly with a stroke
• Slow traffic pace