The desire of an officer to tour the States? (4)
I believe the answer is:
lust
'the desire' is the definition.
(lust is a kind of desire)
'an officer to tour the states?' is the wordplay.
'an officer' becomes 'lt' (I've seen this in other clues**).
'to tour' indicates putting letters inside (to tour can mean to go around).
'the states?' becomes 'us' (abbreviation for the United States).
'lt' going around 'us' is 'LUST'.
'of' is the link.
(Other definitions for lust that I've seen before include "Strong sexual desire" , "Lecherousness" , "Depraved desire" , "Passionate desire" , "Carnal desire" .)