Country offering the finest service (5)
I believe the answer is:
china
This might be a double definition.
'country' is the first definition.
(China is a country)
'the finest service' is the second definition.
'china' can be an answer for 'service' (I've seen this before). I am not sure about the 'the finest' bit.
'offering' acts as a link.
Can you help me to learn more?
(Other definitions for china that I've seen before include "Dresden, perhaps" , "porcelain vessels?" , "bud" , "Ceramic; country" , "Household ceramics" .)