Related Clues:

• On one's case
• Making crank calls, e.g.
• Vaughan (reversed) + Emulate Vaughan = Badgering
• Giving a hard time
• Hang around, as Sir, to such an annoying extent
• Ha! The artists break into song just to be annoying
• Bothering to go racing off to catch donkey
• Annoying idiot's rushing around