George unexpectedly acquiring Times, ambitious chap (2-6)
I believe the answer is:
go-getter
'ambitious chap' is the definition.
(a go-getter is an ambitious or hard-working person)
'george unexpectedly acquiring times' is the wordplay.
'unexpectedly' indicates an anagram.
'acquiring' is an insertion indicator.
'times' becomes 'tt' (two abbreviations for time).
'george' anagrammed gives 'gogeer'.
'gogeer' enclosing 'tt' is 'GO-GETTER'.
(Other definitions for go-getter that I've seen before include "One who succeeds through energy and drive" , "Person who is successful through aggression and energy" , "Person who is successful by being aggressive and energetic" , "Enterprising person" , "Thrusting, ambitious type" .)