Something buzzing around woman in tropical country (6)
I believe the answer is:
belize
'tropical country' is the definition.
'something buzzing around woman' is the wordplay.
'something buzzing' becomes 'bee'.
'around' indicates putting letters inside.
'woman' becomes 'liz' (**).
'bee' going around 'liz' is 'BELIZE'.
'in' is the link.
(Other definitions for belize that I've seen before include "Central American republic" , "Central American country, formerly British Honduras" , "Caribbean country" , "Commonwealth state" , "Central American state" .)