Single education centre’s quite without it (6)
I believe the answer is:
unique
'single' is the definition.
('unique' can be similar in meaning to 'single')
'education centre's quite without it' is the wordplay.
'education centre' becomes 'uni'.
'without' is a deletion indicator.
'quite' with 'it' taken out is 'que'.
'uni'+'que'='UNIQUE'
(Other definitions for unique that I've seen before include "Without equal or like" , "Without equal, unparalleled" , "it's most unusual" , "incomparable" , "Singular, one of a kind" .)