Core of team back from China? (7)
I believe the answer is:
eastern
'from china?' is the definition.
(China is a country of the east)
'core of team back' is the wordplay.
'core of' means to look at the middle letters.
'back' becomes 'stern' (stern is a kind of back).
The middle letters of 'team' are 'ea'.
'ea'+'stern'='EASTERN'
(Other definitions for eastern that I've seen before include "Of the direction of the rising sun" , "Indian perhaps" , "Asian" , "from afar" , "Facing away from the west" .)