Grasping Republican unwilling, perhaps, to discover a way to go in America (10)
I believe the answer is:
interstate
'a way to go in america' is the definition.
(type of road in the US)
'grasping republican unwilling perhaps' is the wordplay.
'grasping' indicates putting letters inside (inserted letters are held or grasped).
'republican' becomes 'R' (abbreviation).
'unwilling perhaps' becomes 'intestate' (intestate means not having written a will).
'r' going into 'intestate' is 'INTERSTATE'.
'to discover' acts as a link.
(Other definitions for interstate that I've seen before include "between parts of US" , "American motorway" , "highway" , "American way" , "road in US" .)