Late MP ran frantically round independent part of government (10)
I believe the answer is:
parliament
'part of government' is the definition.
(a parliament is a governing body)
'late mp ran frantically round independent' is the wordplay.
'frantically' indicates an anagram.
'round' means one lot of letters goes inside another.
'independent' becomes 'i'.
'late'+'mp'+'ran'='latempran'
'latempran' with letters rearranged gives 'parlament'.
'parlament' placed around 'i' is 'PARLIAMENT'.
(Other definitions for parliament that I've seen before include "Diet" , "Legislative assembly" , "Houses" , "The law is laid down here" , "Legislative body" .)