Possible Clues:

• Oboes are so good to leave always wanting more
• Thin and piping, as music
• Like sedges
• Like the sound of oboes
• Sounding like a 22 Across
• Like a stick insect with lots of grass around?
• Sounding like bagpipes
• Not initially likely to get fat — so thin
• Whistling, craving topless ...
• Shrill, or piping