Run over me, stopping short as a favour (7)
I believe the answer is:
rosette
'a favour' is the definition.
('favour' historically meant a token of affection)
'run over me stopping short' is the wordplay.
'run' becomes 'r' (cricket abbreviation).
'over' becomes 'o' (cricket abbreviation).
'me' becomes 'setter' (the person that set this crossword).
'stopping short' means to remove the last letter.
'setter' with its final letter removed is 'sette'.
'r'+'o'+'sette'='ROSETTE'
'as' is the link.
(Other definitions for rosette that I've seen before include "Flower-like badge" , "Arrangement of ribbons presented as a prize" , "Cockade" , "Party wear" , "decoration showing support for party" .)