Refugees' centre with an African (7)
I believe the answer is:
ugandan
'african' is the definition.
(Ugandan is an example)
'refugees' centre with an' is the wordplay.
'centre' indicates the central letters.
'with' becomes 'and' (I've seen this before).
The middle letters of 'refugees' are 'ug'.
'ug'+'and'+'an'='UGANDAN'
(Other definitions for ugandan that I've seen before include "inhabitant of Kampala?" , "From Kampala or Entebbe?" , "Particular African" , "From an East African country?" , "Eg, Kampala native" .)