Crime nearly out of control around Cuba (7)
I believe the answer is:
larceny
'crime' is the definition.
(larceny is a kind of crime)
'nearly out of control around cuba' is the wordplay.
'out of control' indicates an anagram.
'around' is an insertion indicator.
'cuba' becomes 'c'.
'nearly' is an anagram of 'lareny'.
'lareny' going around 'c' is 'LARCENY'.
(Other definitions for larceny that I've seen before include "taking offence" , "Theft of personal property" , "Burglary" , "Stealing - theft" , "Criminal activity" .)