Country church in middle of May (5)
I believe the answer is:
china
'country' is the definition.
(I know that China is a Asian country)
'church in middle of may' is the wordplay.
'church' becomes 'ch' (common abbreviation).
'middle of' means to look at the middle letters.
The centre of 'may' is 'a'.
'ch'+'in'+'a'='CHINA'
(Other definitions for china that I've seen before include "Household ceramics" , "It used to be called Cathay" , "bud" , "friend or companion" , "Friend (rhyming slang)" .)