Possible Clues:

• One-horned horse
• Fabulous creature seen in tunic or nightgown
• Mythical creature Greek character picked up -- one with growth on foot?
• Fantastically successful startup company
• Scotland’s representative in on RUC reforms
• Horned beast of fantasy
• Magical creature associated with rainbows
• Where one studies bodily growth that's often on arms
• Centurions set out having been ordered to find partner for lion
• International organisation, one with something banal that can't be believed in!