Possible Clues:

• Omelet ingredients
• The "suns" in sunny-side-up eggs
• Centers of eggs
• They provide richness in batter
• White omelet's lack
• Cholesterol-rich egg parts
• Eggnog ingredients
• 'The ___ on you!' (classic gag line)
• 'The ___ on you!' (quip after smashing an egg over someone's head)
• Runny egg parts on room service tray