Government to receive inspiring promotion for appliance (6)
I believe the answer is:
gadget
'appliance' is the definition.
(synonyms)
'government to receive inspiring promotion' is the wordplay.
'government' becomes 'g' (abbreviation for government).
'to receive' becomes 'get' ('get' can be a synonym of 'receive').
'inspiring' is an insertion indicator.
'promotion' becomes 'ad' (short for advert).
'g'+'get'='gget'
'gget' going around 'ad' is 'GADGET'.
'for' acts as a link.
(Other definitions for gadget that I've seen before include "Ingenious little device" , "Gizmo, contraption" , "Gismo" , "Clever device" , "Tagged (anag.)" .)