Small number, around nine, meeting new US president (5)
I believe the answer is:
nixon
'us president' is the definition.
(Richard Nixon)
'small number around nine meeting new' is the wordplay.
'small number' becomes 'no' (abbreviation for 'number').
'around' means one lot of letters goes inside another.
'nine' becomes 'IX' (roman numeral).
'meeting' is a charade indicator (letters next to each other).
'new' becomes 'n' (common abbreviation eg NT for New Testament).
'no' enclosing 'ix' is 'nixo'.
'nixo'+'n'='NIXON'
(Other definitions for nixon that I've seen before include "Richard -, US president who resigned in nineteen seventy four" , "Only US president to resign" , "37th US President" , "37th president of the United States, resigned 1974" , "US president before Gerald Ford" .)