Formally induct government that's promising (8)
I believe the answer is:
swearing
'promising' is the definition.
(I've seen this before)
'formally induct government' is the wordplay.
'formally induct' becomes 'swear in' (as in swearing in a president).
'government' becomes 'g' (abbreviation for government).
'swearin'+'g'='SWEARING'
'that's' acts as a link.
(Other definitions for swearing that I've seen before include "blue emissions?" , "Vowing" , "Affirming or cursing" , "Taking an oath" , "Foul language" .)