His rag may be cheap and sensational (6)
I believe the answer is:
garish
'sensational' is the definition.
(thesaurus)
'his rag may be' is the wordplay.
'may be' indicates anagramming the letters.
'his'+'rag'='hisrag'
'hisrag' is an anagram of 'GARISH'.
'cheap and' is the link.
I am not very happy about this link. Some or all of it may belong to another bit of the clue.
Can you help me to learn more?
(Other definitions for garish that I've seen before include "Overbright and showy" , "Hag, sir, could be gaudy" , "Tastelessly bright" , "Loud" , "Cheap, flash" .)