Claim he made for an archangel (7)
I believe the answer is:
michael
'for an archangel' is the definition.
(I've seen this in another clue)
'claim he made' is the wordplay.
'made' indicates an anagram.
'claim'+'he'='claimhe'
'claimhe' with letters rearranged gives 'MICHAEL'.
(Other definitions for michael that I've seen before include "- - Flanders, 18's lyricist" , "Man's name" , "Man" , "- Faraday, English chemist/physicist" , "American musician (originally one of 5)" .)