Divert outsiders in race, twice entertaining public (7)
I believe the answer is:
reroute
'divert' is the definition.
(I've seen this before)
'outsiders in race twice entertaining public' is the wordplay.
'outsiders in' says to hollow out the word (remove centre letters).
'twice' says to double the letters.
'entertaining' indicates putting letters inside (inviting in, as for dinner).
'public' becomes 'out' (out can mean released to the public).
'race' with its centre taken out is 're'.
're' doubled is 'rere'.
'rere' going around 'out' is 'REROUTE'.
(Other definitions for reroute that I've seen before include "Send another way" , "Divert" , "Send in alternative direction" , "Change direction" , "Change directions" .)