Inquisitive boss regularly visiting New York (4)
I believe the answer is:
nosy
'inquisitive' is the definition.
(nosy means overly inquisitive or curious)
'boss regularly visiting new york' is the wordplay.
'regularly' indicates alternate letters (regularly take one letter, leave next etc.).
'visiting' means one lot of letters goes inside another.
'new york' becomes 'ny'.
The alternate letters of 'boss' are 'os'.
'os' inserted inside 'ny' is 'NOSY'.
(Other definitions for nosy that I've seen before include "Inclined to poke into other people's affairs" , "Inquisitive in nasal manner" , "Over-inquisitive" , "Showing too much curiosity about people's affairs" , "lots of questions" .)