Possible Clues:

• Lazy walrus, e.g., for short
• It may be right under your nose, informally
• Part of a Vandyke, informally
• Short facial hair?
• Slang term for above-the-lip facial hair
• Soup strainer, informally
• Lip warmer, for short
• Shortened facial hair?
• Hair that sounds like a hoard
• It's just under one's nose, informally