Damaged manicure on left of digits (9)
I believe the answer is:
numerical
'of digits' is the definition.
(I've seen this before)
'damaged manicure on left' is the wordplay.
'damaged' indicates an anagram.
'on' means one lot of letters go next to another.
'left' becomes 'l' (common abbreviation).
'manicure' anagrammed gives 'numerica'.
'numerica'+'l'='NUMERICAL'
(Other definitions for numerical that I've seen before include "of digits" , "Using arithmetic values" , "Muriel can (anag)" , "Relating to quantity" , "Like Sudoku puzzles" .)