Daughter remains in race (4)
I believe the answer is:
dash
'race' is the definition.
(dashing is a kind of racing)
'daughter remains' is the wordplay.
'daughter' becomes 'd'.
'remains' becomes 'ash' (I've seen this before).
'd'+'ash'='DASH'
'in' is the link.
(Other definitions for dash that I've seen before include "scotch" , "rats" , "Confound - verve" , "style" , "- - ; panache" .)