Strong desire of lieutenant to tour America (4)
I believe the answer is:
lust
'strong desire' is the definition.
(I've seen this in another clue)
'lieutenant to tour america' is the wordplay.
'lieutenant' becomes 'lt' (abbreviation for lieutenant).
'to tour' means one lot of letters goes inside another (to tour can mean to go around).
'america' becomes 'us' (United States).
'lt' placed around 'us' is 'LUST'.
'of' acts as a link.
(Other definitions for lust that I've seen before include "Depraved desire" , "Libido" , "Carnal desire" , "One of the seven deadly sins" , "Strong sexual desire" .)