Minister in a race gets to finish (6)
I believe the answer is:
attend
'minister' is the definition.
(I know that minister is a more specific form of attend)
'a race gets to finish' is the wordplay.
'race' becomes 'tt'.
'gets' means one lot of letters go next to another.
'to finish' becomes 'end' (come to an end).
'a'+'tt'+'end'='ATTEND'
'in' is the link.
(Other definitions for attend that I've seen before include "Escort (someone)" , "Frequent" , "Be present or appear at" , "take heed" , "Be present at, turn up" .)