Possible Clues:

• Four-sided figure
• Quadrilateral shape
• Four-sided figure — not great (anag)
• Theft occasionally leading to scrap on square perhaps
• Turns up, it's not about band missing last singer - an unusual figure with a number of angles
• Measure dresses and French cloth, showing figure
• Shape of tropical fish no good for reversing
• It could be said to be all square with cloth on the bottom
• This could be square with a bit of stuff on the end
• Four-sided plane figure