Ran from second dog that is in road (8)
I believe the answer is:
scurried
'ran' is the definition.
(scurrying is a kind of running)
'second dog that is in road' is the wordplay.
'second' becomes 's' (common abbreviation).
'dog' becomes 'cur' (cur is a kind of dog).
'that is' becomes 'ie' (synonyms).
'in' is an insertion indicator.
'road' becomes 'rd' (abbreviation).
'ie' inserted within 'rd' is 'ried'.
's'+'cur'+'ried'='SCURRIED'
'from' acts as a link.
(Other definitions for scurried that I've seen before include "Ran briskly" , "Moved hurriedly with quick short steps" , "went fast!" , "Scampered, scuttled" , "Ran with quick short steps" .)