Checked Iran with desert storm (10)
I believe the answer is:
restrained
'checked' is the definition.
(restraining is a kind of checking)
'iran with desert storm' is the wordplay.
'with' is a charade indicator (letters next to each other).
'storm' indicates an anagram.
'iran' after 'desert' is 'desertiran'.
'desertiran' is an anagram of 'RESTRAINED'.
(Other definitions for restrained that I've seen before include "muted" , "Held back" , "Deprived of freedom" , "Calm" , "Reserved, dispassionate" .)