Business acquiring clubs in New York after some time (6)
I believe the answer is:
agency
'business' is the definition.
(agency is a kind of business)
'clubs in new york after some time' is the wordplay.
'clubs' becomes 'c' (abbreviation used in card games such as bridge).
'in' indicates putting letters inside.
'new york' becomes 'ny'.
'after' means one lot of letters go next to another.
'some time' becomes 'age' (age is a kind of time).
'c' going into 'ny' is 'ncy'.
'ncy' put after 'age' is 'AGENCY'.
'acquiring' acts as a link.
(Other definitions for agency that I've seen before include "Business providing specific service" , "Travel --; dating --" , "Business serving other businesses" , "Bureau; action" , "See 24 Across" .)