Draw an abstainer with damaged cart (7)
I believe the answer is:
attract
'draw' is the definition.
(I know that draw can be written as attract)
'an abstainer with damaged cart' is the wordplay.
'an' becomes 'a'.
'abstainer' becomes 'TT' (short for teetotaller, someone who avoids alcohol).
'with' is an insertion indicator.
'damaged' indicates an anagram.
'cart' is an anagram of 'trac'.
'tt' placed around 'trac' is 'ttract'.
'a'+'ttract'='ATTRACT'
(Other definitions for attract that I've seen before include "Draw to oneself" , "To be liable to" , "Exert a pull upon" , "Draw towards like a magnet" , "to be appealing" .)